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Finding the Third Proportional to 77,785 and 123,681

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Solution

The third proportional to 77,785 and 123,681 is: 196,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785 : 123,681 = 123,681 : x
  2. Step 2: Convert to fraction form
    77,785/123,681 = 123,681/x
  3. Step 3: Cross multiply
    77,785x = 123,681 × 123,681
  4. Step 4: Simplify right side
    77,785x = 15,296,989,761
  5. Step 5: Solve for x
    x = 15,296,989,761/77,785
  6. Step 6: Final answer
    x = 196,657.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.