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Finding the Third Proportional to 76,681 and 166,862

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Solution

The third proportional to 76,681 and 166,862 is: 363,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681 : 166,862 = 166,862 : x
  2. Step 2: Convert to fraction form
    76,681/166,862 = 166,862/x
  3. Step 3: Cross multiply
    76,681x = 166,862 × 166,862
  4. Step 4: Simplify right side
    76,681x = 27,842,927,044
  5. Step 5: Solve for x
    x = 27,842,927,044/76,681
  6. Step 6: Final answer
    x = 363,100.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.