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Finding the Third Proportional to 660,959 and 891,790

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Solution

The third proportional to 660,959 and 891,790 is: 1,203,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,959 : 891,790 = 891,790 : x
  2. Step 2: Convert to fraction form
    660,959/891,790 = 891,790/x
  3. Step 3: Cross multiply
    660,959x = 891,790 × 891,790
  4. Step 4: Simplify right side
    660,959x = 795,289,404,100
  5. Step 5: Solve for x
    x = 795,289,404,100/660,959
  6. Step 6: Final answer
    x = 1,203,235.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.