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Finding the Third Proportional to 584,321 and 913,387

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Solution

The third proportional to 584,321 and 913,387 is: 1,427,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,321 : 913,387 = 913,387 : x
  2. Step 2: Convert to fraction form
    584,321/913,387 = 913,387/x
  3. Step 3: Cross multiply
    584,321x = 913,387 × 913,387
  4. Step 4: Simplify right side
    584,321x = 834,275,811,769
  5. Step 5: Solve for x
    x = 834,275,811,769/584,321
  6. Step 6: Final answer
    x = 1,427,769.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.