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Finding the Third Proportional to 491,409 and 720,778

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Solution

The third proportional to 491,409 and 720,778 is: 1,057,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,409 : 720,778 = 720,778 : x
  2. Step 2: Convert to fraction form
    491,409/720,778 = 720,778/x
  3. Step 3: Cross multiply
    491,409x = 720,778 × 720,778
  4. Step 4: Simplify right side
    491,409x = 519,520,925,284
  5. Step 5: Solve for x
    x = 519,520,925,284/491,409
  6. Step 6: Final answer
    x = 1,057,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.