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Finding the Third Proportional to 187,814 and 407,475

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Solution

The third proportional to 187,814 and 407,475 is: 884,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,814 : 407,475 = 407,475 : x
  2. Step 2: Convert to fraction form
    187,814/407,475 = 407,475/x
  3. Step 3: Cross multiply
    187,814x = 407,475 × 407,475
  4. Step 4: Simplify right side
    187,814x = 166,035,875,625
  5. Step 5: Solve for x
    x = 166,035,875,625/187,814
  6. Step 6: Final answer
    x = 884,044.19

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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.