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Finding the Third Proportional to 62,280 and 127,470

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Solution

The third proportional to 62,280 and 127,470 is: 260,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,280 : 127,470 = 127,470 : x
  2. Step 2: Convert to fraction form
    62,280/127,470 = 127,470/x
  3. Step 3: Cross multiply
    62,280x = 127,470 × 127,470
  4. Step 4: Simplify right side
    62,280x = 16,248,600,900
  5. Step 5: Solve for x
    x = 16,248,600,900/62,280
  6. Step 6: Final answer
    x = 260,895.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.