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Finding the Third Proportional to 187,704 and 390,938

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Solution

The third proportional to 187,704 and 390,938 is: 814,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704 : 390,938 = 390,938 : x
  2. Step 2: Convert to fraction form
    187,704/390,938 = 390,938/x
  3. Step 3: Cross multiply
    187,704x = 390,938 × 390,938
  4. Step 4: Simplify right side
    187,704x = 152,832,519,844
  5. Step 5: Solve for x
    x = 152,832,519,844/187,704
  6. Step 6: Final answer
    x = 814,220.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.