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Finding the Third Proportional to 717,398 and 1,098,695.50

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Solution

The third proportional to 717,398 and 1,098,695.50 is: 1,682,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,398 : 1,098,695.50 = 1,098,695.50 : x
  2. Step 2: Convert to fraction form
    717,398/1,098,695.50 = 1,098,695.50/x
  3. Step 3: Cross multiply
    717,398x = 1,098,695.50 × 1,098,695.50
  4. Step 4: Simplify right side
    717,398x = 1,207,131,801,720.25
  5. Step 5: Solve for x
    x = 1,207,131,801,720.25/717,398
  6. Step 6: Final answer
    x = 1,682,652.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.