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Finding the Third Proportional to 582,406 and 913,791

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Solution

The third proportional to 582,406 and 913,791 is: 1,433,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,406 : 913,791 = 913,791 : x
  2. Step 2: Convert to fraction form
    582,406/913,791 = 913,791/x
  3. Step 3: Cross multiply
    582,406x = 913,791 × 913,791
  4. Step 4: Simplify right side
    582,406x = 835,013,991,681
  5. Step 5: Solve for x
    x = 835,013,991,681/582,406
  6. Step 6: Final answer
    x = 1,433,731.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.