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Finding the Third Proportional to 187,684 and 390,899

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Solution

The third proportional to 187,684 and 390,899 is: 814,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,684 : 390,899 = 390,899 : x
  2. Step 2: Convert to fraction form
    187,684/390,899 = 390,899/x
  3. Step 3: Cross multiply
    187,684x = 390,899 × 390,899
  4. Step 4: Simplify right side
    187,684x = 152,802,028,201
  5. Step 5: Solve for x
    x = 152,802,028,201/187,684
  6. Step 6: Final answer
    x = 814,145.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.