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Finding the Third Proportional to 181,038 and 391,209

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Solution

The third proportional to 181,038 and 391,209 is: 845,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,038 : 391,209 = 391,209 : x
  2. Step 2: Convert to fraction form
    181,038/391,209 = 391,209/x
  3. Step 3: Cross multiply
    181,038x = 391,209 × 391,209
  4. Step 4: Simplify right side
    181,038x = 153,044,481,681
  5. Step 5: Solve for x
    x = 153,044,481,681/181,038
  6. Step 6: Final answer
    x = 845,372.14

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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.