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Finding the Third Proportional to 318,190.50 and 686,170.50

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Solution

The third proportional to 318,190.50 and 686,170.50 is: 1,479,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,190.50 : 686,170.50 = 686,170.50 : x
  2. Step 2: Convert to fraction form
    318,190.50/686,170.50 = 686,170.50/x
  3. Step 3: Cross multiply
    318,190.50x = 686,170.50 × 686,170.50
  4. Step 4: Simplify right side
    318,190.50x = 470,829,955,070.25
  5. Step 5: Solve for x
    x = 470,829,955,070.25/318,190.50
  6. Step 6: Final answer
    x = 1,479,710.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.