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Finding the Third Proportional to 80,700 and 125,470

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Solution

The third proportional to 80,700 and 125,470 is: 195,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,700 : 125,470 = 125,470 : x
  2. Step 2: Convert to fraction form
    80,700/125,470 = 125,470/x
  3. Step 3: Cross multiply
    80,700x = 125,470 × 125,470
  4. Step 4: Simplify right side
    80,700x = 15,742,720,900
  5. Step 5: Solve for x
    x = 15,742,720,900/80,700
  6. Step 6: Final answer
    x = 195,077.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.