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Finding the Third Proportional to 408,973 and 624,531

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Solution

The third proportional to 408,973 and 624,531 is: 953,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,973 : 624,531 = 624,531 : x
  2. Step 2: Convert to fraction form
    408,973/624,531 = 624,531/x
  3. Step 3: Cross multiply
    408,973x = 624,531 × 624,531
  4. Step 4: Simplify right side
    408,973x = 390,038,969,961
  5. Step 5: Solve for x
    x = 390,038,969,961/408,973
  6. Step 6: Final answer
    x = 953,703.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.