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Finding the Third Proportional to 128,292 and 191,070

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Solution

The third proportional to 128,292 and 191,070 is: 284,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,292 : 191,070 = 191,070 : x
  2. Step 2: Convert to fraction form
    128,292/191,070 = 191,070/x
  3. Step 3: Cross multiply
    128,292x = 191,070 × 191,070
  4. Step 4: Simplify right side
    128,292x = 36,507,744,900
  5. Step 5: Solve for x
    x = 36,507,744,900/128,292
  6. Step 6: Final answer
    x = 284,567.59

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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.