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Finding the Third Proportional to 71,460 and 136,440

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Solution

The third proportional to 71,460 and 136,440 is: 260,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,460 : 136,440 = 136,440 : x
  2. Step 2: Convert to fraction form
    71,460/136,440 = 136,440/x
  3. Step 3: Cross multiply
    71,460x = 136,440 × 136,440
  4. Step 4: Simplify right side
    71,460x = 18,615,873,600
  5. Step 5: Solve for x
    x = 18,615,873,600/71,460
  6. Step 6: Final answer
    x = 260,507.61

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.