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Finding the Third Proportional to 426,727 and 916,733

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Solution

The third proportional to 426,727 and 916,733 is: 1,969,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,727 : 916,733 = 916,733 : x
  2. Step 2: Convert to fraction form
    426,727/916,733 = 916,733/x
  3. Step 3: Cross multiply
    426,727x = 916,733 × 916,733
  4. Step 4: Simplify right side
    426,727x = 840,399,393,289
  5. Step 5: Solve for x
    x = 840,399,393,289/426,727
  6. Step 6: Final answer
    x = 1,969,407.59

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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.