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Finding the Third Proportional to 397,280 and 510,087

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Solution

The third proportional to 397,280 and 510,087 is: 654,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,280 : 510,087 = 510,087 : x
  2. Step 2: Convert to fraction form
    397,280/510,087 = 510,087/x
  3. Step 3: Cross multiply
    397,280x = 510,087 × 510,087
  4. Step 4: Simplify right side
    397,280x = 260,188,747,569
  5. Step 5: Solve for x
    x = 260,188,747,569/397,280
  6. Step 6: Final answer
    x = 654,925.36

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.