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Finding the Third Proportional to 135,932 and 316,040

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Solution

The third proportional to 135,932 and 316,040 is: 734,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,932 : 316,040 = 316,040 : x
  2. Step 2: Convert to fraction form
    135,932/316,040 = 316,040/x
  3. Step 3: Cross multiply
    135,932x = 316,040 × 316,040
  4. Step 4: Simplify right side
    135,932x = 99,881,281,600
  5. Step 5: Solve for x
    x = 99,881,281,600/135,932
  6. Step 6: Final answer
    x = 734,788.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.