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Finding the Third Proportional to 452,427,047,280 and 984,286,779,984

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Solution

The third proportional to 452,427,047,280 and 984,286,779,984 is: 2,141,384,939,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,427,047,280 : 984,286,779,984 = 984,286,779,984 : x
  2. Step 2: Convert to fraction form
    452,427,047,280/984,286,779,984 = 984,286,779,984/x
  3. Step 3: Cross multiply
    452,427,047,280x = 984,286,779,984 × 984,286,779,984
  4. Step 4: Simplify right side
    452,427,047,280x = 968,820,465,251,271,191,822,336
  5. Step 5: Solve for x
    x = 968,820,465,251,271,191,822,336/452,427,047,280
  6. Step 6: Final answer
    x = 2,141,384,939,463.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.