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Finding the Third Proportional to 40,808 and 86,070

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Solution

The third proportional to 40,808 and 86,070 is: 181,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,808 : 86,070 = 86,070 : x
  2. Step 2: Convert to fraction form
    40,808/86,070 = 86,070/x
  3. Step 3: Cross multiply
    40,808x = 86,070 × 86,070
  4. Step 4: Simplify right side
    40,808x = 7,408,044,900
  5. Step 5: Solve for x
    x = 7,408,044,900/40,808
  6. Step 6: Final answer
    x = 181,534.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.