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Finding the Third Proportional to 35,721 and 77,791

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Solution

The third proportional to 35,721 and 77,791 is: 169,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721 : 77,791 = 77,791 : x
  2. Step 2: Convert to fraction form
    35,721/77,791 = 77,791/x
  3. Step 3: Cross multiply
    35,721x = 77,791 × 77,791
  4. Step 4: Simplify right side
    35,721x = 6,051,439,681
  5. Step 5: Solve for x
    x = 6,051,439,681/35,721
  6. Step 6: Final answer
    x = 169,408.46

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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.