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Finding the Third Proportional to 442,753 and 621,280

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Solution

The third proportional to 442,753 and 621,280 is: 871,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,753 : 621,280 = 621,280 : x
  2. Step 2: Convert to fraction form
    442,753/621,280 = 621,280/x
  3. Step 3: Cross multiply
    442,753x = 621,280 × 621,280
  4. Step 4: Simplify right side
    442,753x = 385,988,838,400
  5. Step 5: Solve for x
    x = 385,988,838,400/442,753
  6. Step 6: Final answer
    x = 871,792.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.