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Finding the Third Proportional to 428,484 and 629,468

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Solution

The third proportional to 428,484 and 629,468 is: 924,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,484 : 629,468 = 629,468 : x
  2. Step 2: Convert to fraction form
    428,484/629,468 = 629,468/x
  3. Step 3: Cross multiply
    428,484x = 629,468 × 629,468
  4. Step 4: Simplify right side
    428,484x = 396,229,963,024
  5. Step 5: Solve for x
    x = 396,229,963,024/428,484
  6. Step 6: Final answer
    x = 924,725.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.