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Finding the Third Proportional to 157,078 and 242,681

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Solution

The third proportional to 157,078 and 242,681 is: 374,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,078 : 242,681 = 242,681 : x
  2. Step 2: Convert to fraction form
    157,078/242,681 = 242,681/x
  3. Step 3: Cross multiply
    157,078x = 242,681 × 242,681
  4. Step 4: Simplify right side
    157,078x = 58,894,067,761
  5. Step 5: Solve for x
    x = 58,894,067,761/157,078
  6. Step 6: Final answer
    x = 374,935.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.