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Finding the Third Proportional to 280,061 and 614,554

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Solution

The third proportional to 280,061 and 614,554 is: 1,348,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,061 : 614,554 = 614,554 : x
  2. Step 2: Convert to fraction form
    280,061/614,554 = 614,554/x
  3. Step 3: Cross multiply
    280,061x = 614,554 × 614,554
  4. Step 4: Simplify right side
    280,061x = 377,676,618,916
  5. Step 5: Solve for x
    x = 377,676,618,916/280,061
  6. Step 6: Final answer
    x = 1,348,551.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.