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Finding the Third Proportional to 153,967.50 and 318,267

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Solution

The third proportional to 153,967.50 and 318,267 is: 657,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,967.50 : 318,267 = 318,267 : x
  2. Step 2: Convert to fraction form
    153,967.50/318,267 = 318,267/x
  3. Step 3: Cross multiply
    153,967.50x = 318,267 × 318,267
  4. Step 4: Simplify right side
    153,967.50x = 101,293,883,289
  5. Step 5: Solve for x
    x = 101,293,883,289/153,967.50
  6. Step 6: Final answer
    x = 657,891.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.