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Finding the Third Proportional to 354,939 and 766,158

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Solution

The third proportional to 354,939 and 766,158 is: 1,653,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,939 : 766,158 = 766,158 : x
  2. Step 2: Convert to fraction form
    354,939/766,158 = 766,158/x
  3. Step 3: Cross multiply
    354,939x = 766,158 × 766,158
  4. Step 4: Simplify right side
    354,939x = 586,998,080,964
  5. Step 5: Solve for x
    x = 586,998,080,964/354,939
  6. Step 6: Final answer
    x = 1,653,799.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.