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Finding the Third Proportional to 240,810 and 381,627

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Solution

The third proportional to 240,810 and 381,627 is: 604,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,810 : 381,627 = 381,627 : x
  2. Step 2: Convert to fraction form
    240,810/381,627 = 381,627/x
  3. Step 3: Cross multiply
    240,810x = 381,627 × 381,627
  4. Step 4: Simplify right side
    240,810x = 145,639,167,129
  5. Step 5: Solve for x
    x = 145,639,167,129/240,810
  6. Step 6: Final answer
    x = 604,788.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.