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Finding the Third Proportional to 187,437 and 404,399

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Solution

The third proportional to 187,437 and 404,399 is: 872,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,437 : 404,399 = 404,399 : x
  2. Step 2: Convert to fraction form
    187,437/404,399 = 404,399/x
  3. Step 3: Cross multiply
    187,437x = 404,399 × 404,399
  4. Step 4: Simplify right side
    187,437x = 163,538,551,201
  5. Step 5: Solve for x
    x = 163,538,551,201/187,437
  6. Step 6: Final answer
    x = 872,498.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.