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Finding the Third Proportional to 182,421 and 391,815

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Solution

The third proportional to 182,421 and 391,815 is: 841,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,421 : 391,815 = 391,815 : x
  2. Step 2: Convert to fraction form
    182,421/391,815 = 391,815/x
  3. Step 3: Cross multiply
    182,421x = 391,815 × 391,815
  4. Step 4: Simplify right side
    182,421x = 153,518,994,225
  5. Step 5: Solve for x
    x = 153,518,994,225/182,421
  6. Step 6: Final answer
    x = 841,564.26

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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.