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Finding the Third Proportional to 79,306 and 108,020

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Solution

The third proportional to 79,306 and 108,020 is: 147,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,306 : 108,020 = 108,020 : x
  2. Step 2: Convert to fraction form
    79,306/108,020 = 108,020/x
  3. Step 3: Cross multiply
    79,306x = 108,020 × 108,020
  4. Step 4: Simplify right side
    79,306x = 11,668,320,400
  5. Step 5: Solve for x
    x = 11,668,320,400/79,306
  6. Step 6: Final answer
    x = 147,130.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.