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Finding the Third Proportional to 234,840 and 363,780

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Solution

The third proportional to 234,840 and 363,780 is: 563,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,840 : 363,780 = 363,780 : x
  2. Step 2: Convert to fraction form
    234,840/363,780 = 363,780/x
  3. Step 3: Cross multiply
    234,840x = 363,780 × 363,780
  4. Step 4: Simplify right side
    234,840x = 132,335,888,400
  5. Step 5: Solve for x
    x = 132,335,888,400/234,840
  6. Step 6: Final answer
    x = 563,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.