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Finding the Third Proportional to 717,400 and 1,098,699

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Solution

The third proportional to 717,400 and 1,098,699 is: 1,682,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,400 : 1,098,699 = 1,098,699 : x
  2. Step 2: Convert to fraction form
    717,400/1,098,699 = 1,098,699/x
  3. Step 3: Cross multiply
    717,400x = 1,098,699 × 1,098,699
  4. Step 4: Simplify right side
    717,400x = 1,207,139,492,601
  5. Step 5: Solve for x
    x = 1,207,139,492,601/717,400
  6. Step 6: Final answer
    x = 1,682,658.90

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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.