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Finding the Third Proportional to 187,785 and 405,612

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Solution

The third proportional to 187,785 and 405,612 is: 876,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,785 : 405,612 = 405,612 : x
  2. Step 2: Convert to fraction form
    187,785/405,612 = 405,612/x
  3. Step 3: Cross multiply
    187,785x = 405,612 × 405,612
  4. Step 4: Simplify right side
    187,785x = 164,521,094,544
  5. Step 5: Solve for x
    x = 164,521,094,544/187,785
  6. Step 6: Final answer
    x = 876,114.14

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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.