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Finding the Third Proportional to 62,460 and 128,520

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Solution

The third proportional to 62,460 and 128,520 is: 264,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,460 : 128,520 = 128,520 : x
  2. Step 2: Convert to fraction form
    62,460/128,520 = 128,520/x
  3. Step 3: Cross multiply
    62,460x = 128,520 × 128,520
  4. Step 4: Simplify right side
    62,460x = 16,517,390,400
  5. Step 5: Solve for x
    x = 16,517,390,400/62,460
  6. Step 6: Final answer
    x = 264,447.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.