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Finding the Third Proportional to 162,461 and 391,379

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Solution

The third proportional to 162,461 and 391,379 is: 942,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,461 : 391,379 = 391,379 : x
  2. Step 2: Convert to fraction form
    162,461/391,379 = 391,379/x
  3. Step 3: Cross multiply
    162,461x = 391,379 × 391,379
  4. Step 4: Simplify right side
    162,461x = 153,177,521,641
  5. Step 5: Solve for x
    x = 153,177,521,641/162,461
  6. Step 6: Final answer
    x = 942,857.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.