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Finding the Third Proportional to 187,239 and 390,027

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Solution

The third proportional to 187,239 and 390,027 is: 812,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,239 : 390,027 = 390,027 : x
  2. Step 2: Convert to fraction form
    187,239/390,027 = 390,027/x
  3. Step 3: Cross multiply
    187,239x = 390,027 × 390,027
  4. Step 4: Simplify right side
    187,239x = 152,121,060,729
  5. Step 5: Solve for x
    x = 152,121,060,729/187,239
  6. Step 6: Final answer
    x = 812,443.24

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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.