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Finding the Third Proportional to 242,731 and 376,877

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Solution

The third proportional to 242,731 and 376,877 is: 585,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,731 : 376,877 = 376,877 : x
  2. Step 2: Convert to fraction form
    242,731/376,877 = 376,877/x
  3. Step 3: Cross multiply
    242,731x = 376,877 × 376,877
  4. Step 4: Simplify right side
    242,731x = 142,036,273,129
  5. Step 5: Solve for x
    x = 142,036,273,129/242,731
  6. Step 6: Final answer
    x = 585,159.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.