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Finding the Third Proportional to 187,396 and 287,862

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Solution

The third proportional to 187,396 and 287,862 is: 442,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,396 : 287,862 = 287,862 : x
  2. Step 2: Convert to fraction form
    187,396/287,862 = 287,862/x
  3. Step 3: Cross multiply
    187,396x = 287,862 × 287,862
  4. Step 4: Simplify right side
    187,396x = 82,864,531,044
  5. Step 5: Solve for x
    x = 82,864,531,044/187,396
  6. Step 6: Final answer
    x = 442,189.43

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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.