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Finding the Third Proportional to 717,980 and 1,126,399

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Solution

The third proportional to 717,980 and 1,126,399 is: 1,767,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,980 : 1,126,399 = 1,126,399 : x
  2. Step 2: Convert to fraction form
    717,980/1,126,399 = 1,126,399/x
  3. Step 3: Cross multiply
    717,980x = 1,126,399 × 1,126,399
  4. Step 4: Simplify right side
    717,980x = 1,268,774,707,201
  5. Step 5: Solve for x
    x = 1,268,774,707,201/717,980
  6. Step 6: Final answer
    x = 1,767,144.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.