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Finding the Third Proportional to 426,494 and 840,959

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Solution

The third proportional to 426,494 and 840,959 is: 1,658,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,494 : 840,959 = 840,959 : x
  2. Step 2: Convert to fraction form
    426,494/840,959 = 840,959/x
  3. Step 3: Cross multiply
    426,494x = 840,959 × 840,959
  4. Step 4: Simplify right side
    426,494x = 707,212,039,681
  5. Step 5: Solve for x
    x = 707,212,039,681/426,494
  6. Step 6: Final answer
    x = 1,658,199.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.