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Finding the Third Proportional to 207,649.50 and 318,328.50

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Solution

The third proportional to 207,649.50 and 318,328.50 is: 488,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,649.50 : 318,328.50 = 318,328.50 : x
  2. Step 2: Convert to fraction form
    207,649.50/318,328.50 = 318,328.50/x
  3. Step 3: Cross multiply
    207,649.50x = 318,328.50 × 318,328.50
  4. Step 4: Simplify right side
    207,649.50x = 101,333,033,912.25
  5. Step 5: Solve for x
    x = 101,333,033,912.25/207,649.50
  6. Step 6: Final answer
    x = 488,000.38

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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.