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Finding the Third Proportional to 187,304 and 405,712

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Solution

The third proportional to 187,304 and 405,712 is: 878,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,304 : 405,712 = 405,712 : x
  2. Step 2: Convert to fraction form
    187,304/405,712 = 405,712/x
  3. Step 3: Cross multiply
    187,304x = 405,712 × 405,712
  4. Step 4: Simplify right side
    187,304x = 164,602,226,944
  5. Step 5: Solve for x
    x = 164,602,226,944/187,304
  6. Step 6: Final answer
    x = 878,797.18

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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.