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Finding the Third Proportional to 80,435 and 127,470

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Solution

The third proportional to 80,435 and 127,470 is: 202,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,435 : 127,470 = 127,470 : x
  2. Step 2: Convert to fraction form
    80,435/127,470 = 127,470/x
  3. Step 3: Cross multiply
    80,435x = 127,470 × 127,470
  4. Step 4: Simplify right side
    80,435x = 16,248,600,900
  5. Step 5: Solve for x
    x = 16,248,600,900/80,435
  6. Step 6: Final answer
    x = 202,009.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.