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Finding the Third Proportional to 187,306 and 405,716

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Solution

The third proportional to 187,306 and 405,716 is: 878,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,306 : 405,716 = 405,716 : x
  2. Step 2: Convert to fraction form
    187,306/405,716 = 405,716/x
  3. Step 3: Cross multiply
    187,306x = 405,716 × 405,716
  4. Step 4: Simplify right side
    187,306x = 164,605,472,656
  5. Step 5: Solve for x
    x = 164,605,472,656/187,306
  6. Step 6: Final answer
    x = 878,805.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.