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Finding the Third Proportional to 427,160.81 and 623,872.69

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Solution

The third proportional to 427,160.81 and 623,872.69 is: 911,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,160.81 : 623,872.69 = 623,872.69 : x
  2. Step 2: Convert to fraction form
    427,160.81/623,872.69 = 623,872.69/x
  3. Step 3: Cross multiply
    427,160.81x = 623,872.69 × 623,872.69
  4. Step 4: Simplify right side
    427,160.81x = 389,217,130,208.47
  5. Step 5: Solve for x
    x = 389,217,130,208.47/427,160.81
  6. Step 6: Final answer
    x = 911,172.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.