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Finding the Third Proportional to 128,132 and 195,358

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Solution

The third proportional to 128,132 and 195,358 is: 297,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,132 : 195,358 = 195,358 : x
  2. Step 2: Convert to fraction form
    128,132/195,358 = 195,358/x
  3. Step 3: Cross multiply
    128,132x = 195,358 × 195,358
  4. Step 4: Simplify right side
    128,132x = 38,164,748,164
  5. Step 5: Solve for x
    x = 38,164,748,164/128,132
  6. Step 6: Final answer
    x = 297,854.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.