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Finding the Third Proportional to 153,028.50 and 215,117.25

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Solution

The third proportional to 153,028.50 and 215,117.25 is: 302,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,028.50 : 215,117.25 = 215,117.25 : x
  2. Step 2: Convert to fraction form
    153,028.50/215,117.25 = 215,117.25/x
  3. Step 3: Cross multiply
    153,028.50x = 215,117.25 × 215,117.25
  4. Step 4: Simplify right side
    153,028.50x = 46,275,431,247.56
  5. Step 5: Solve for x
    x = 46,275,431,247.56/153,028.50
  6. Step 6: Final answer
    x = 302,397.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.