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Finding the Third Proportional to 426,730 and 916,739

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Solution

The third proportional to 426,730 and 916,739 is: 1,969,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,730 : 916,739 = 916,739 : x
  2. Step 2: Convert to fraction form
    426,730/916,739 = 916,739/x
  3. Step 3: Cross multiply
    426,730x = 916,739 × 916,739
  4. Step 4: Simplify right side
    426,730x = 840,410,394,121
  5. Step 5: Solve for x
    x = 840,410,394,121/426,730
  6. Step 6: Final answer
    x = 1,969,419.53

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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.