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Finding the Third Proportional to 425,619 and 913,959

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Solution

The third proportional to 425,619 and 913,959 is: 1,962,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,619 : 913,959 = 913,959 : x
  2. Step 2: Convert to fraction form
    425,619/913,959 = 913,959/x
  3. Step 3: Cross multiply
    425,619x = 913,959 × 913,959
  4. Step 4: Simplify right side
    425,619x = 835,321,053,681
  5. Step 5: Solve for x
    x = 835,321,053,681/425,619
  6. Step 6: Final answer
    x = 1,962,602.83

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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.