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Finding the Third Proportional to 480,045,476 and 1,047,313,236

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Solution

The third proportional to 480,045,476 and 1,047,313,236 is: 2,284,918,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,045,476 : 1,047,313,236 = 1,047,313,236 : x
  2. Step 2: Convert to fraction form
    480,045,476/1,047,313,236 = 1,047,313,236/x
  3. Step 3: Cross multiply
    480,045,476x = 1,047,313,236 × 1,047,313,236
  4. Step 4: Simplify right side
    480,045,476x = 1,096,865,014,300,791,680
  5. Step 5: Solve for x
    x = 1,096,865,014,300,791,680/480,045,476
  6. Step 6: Final answer
    x = 2,284,918,969.43

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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.