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Finding the Third Proportional to 32,776 and 77,044

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Solution

The third proportional to 32,776 and 77,044 is: 181,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776 : 77,044 = 77,044 : x
  2. Step 2: Convert to fraction form
    32,776/77,044 = 77,044/x
  3. Step 3: Cross multiply
    32,776x = 77,044 × 77,044
  4. Step 4: Simplify right side
    32,776x = 5,935,777,936
  5. Step 5: Solve for x
    x = 5,935,777,936/32,776
  6. Step 6: Final answer
    x = 181,101.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.