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Finding the Third Proportional to 35,687 and 77,731

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Solution

The third proportional to 35,687 and 77,731 is: 169,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687 : 77,731 = 77,731 : x
  2. Step 2: Convert to fraction form
    35,687/77,731 = 77,731/x
  3. Step 3: Cross multiply
    35,687x = 77,731 × 77,731
  4. Step 4: Simplify right side
    35,687x = 6,042,108,361
  5. Step 5: Solve for x
    x = 6,042,108,361/35,687
  6. Step 6: Final answer
    x = 169,308.39

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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.