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Finding the Third Proportional to 128,416 and 191,264

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Solution

The third proportional to 128,416 and 191,264 is: 284,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,416 : 191,264 = 191,264 : x
  2. Step 2: Convert to fraction form
    128,416/191,264 = 191,264/x
  3. Step 3: Cross multiply
    128,416x = 191,264 × 191,264
  4. Step 4: Simplify right side
    128,416x = 36,581,917,696
  5. Step 5: Solve for x
    x = 36,581,917,696/128,416
  6. Step 6: Final answer
    x = 284,870.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.