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Finding the Third Proportional to 61,464 and 135,870

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Solution

The third proportional to 61,464 and 135,870 is: 300,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464 : 135,870 = 135,870 : x
  2. Step 2: Convert to fraction form
    61,464/135,870 = 135,870/x
  3. Step 3: Cross multiply
    61,464x = 135,870 × 135,870
  4. Step 4: Simplify right side
    61,464x = 18,460,656,900
  5. Step 5: Solve for x
    x = 18,460,656,900/61,464
  6. Step 6: Final answer
    x = 300,349.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.