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Finding the Third Proportional to 181,684 and 390,992

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Solution

The third proportional to 181,684 and 390,992 is: 841,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684 : 390,992 = 390,992 : x
  2. Step 2: Convert to fraction form
    181,684/390,992 = 390,992/x
  3. Step 3: Cross multiply
    181,684x = 390,992 × 390,992
  4. Step 4: Simplify right side
    181,684x = 152,874,744,064
  5. Step 5: Solve for x
    x = 152,874,744,064/181,684
  6. Step 6: Final answer
    x = 841,432.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.