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Finding the Third Proportional to 150,242.34 and 215,219.53

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Solution

The third proportional to 150,242.34 and 215,219.53 is: 308,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,242.34 : 215,219.53 = 215,219.53 : x
  2. Step 2: Convert to fraction form
    150,242.34/215,219.53 = 215,219.53/x
  3. Step 3: Cross multiply
    150,242.34x = 215,219.53 × 215,219.53
  4. Step 4: Simplify right side
    150,242.34x = 46,319,446,631.47
  5. Step 5: Solve for x
    x = 46,319,446,631.47/150,242.34
  6. Step 6: Final answer
    x = 308,298.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.