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Finding the Third Proportional to 379,417.50 and 571,617

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Solution

The third proportional to 379,417.50 and 571,617 is: 861,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,417.50 : 571,617 = 571,617 : x
  2. Step 2: Convert to fraction form
    379,417.50/571,617 = 571,617/x
  3. Step 3: Cross multiply
    379,417.50x = 571,617 × 571,617
  4. Step 4: Simplify right side
    379,417.50x = 326,745,994,689
  5. Step 5: Solve for x
    x = 326,745,994,689/379,417.50
  6. Step 6: Final answer
    x = 861,177.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.