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Finding the Third Proportional to 159,148 and 215,378

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Solution

The third proportional to 159,148 and 215,378 is: 291,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,148 : 215,378 = 215,378 : x
  2. Step 2: Convert to fraction form
    159,148/215,378 = 215,378/x
  3. Step 3: Cross multiply
    159,148x = 215,378 × 215,378
  4. Step 4: Simplify right side
    159,148x = 46,387,682,884
  5. Step 5: Solve for x
    x = 46,387,682,884/159,148
  6. Step 6: Final answer
    x = 291,475.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.