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Finding the Third Proportional to 128,294 and 191,072

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Solution

The third proportional to 128,294 and 191,072 is: 284,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,294 : 191,072 = 191,072 : x
  2. Step 2: Convert to fraction form
    128,294/191,072 = 191,072/x
  3. Step 3: Cross multiply
    128,294x = 191,072 × 191,072
  4. Step 4: Simplify right side
    128,294x = 36,508,509,184
  5. Step 5: Solve for x
    x = 36,508,509,184/128,294
  6. Step 6: Final answer
    x = 284,569.11

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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.