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Finding the Third Proportional to 128,070 and 187,952

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Solution

The third proportional to 128,070 and 187,952 is: 275,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,070 : 187,952 = 187,952 : x
  2. Step 2: Convert to fraction form
    128,070/187,952 = 187,952/x
  3. Step 3: Cross multiply
    128,070x = 187,952 × 187,952
  4. Step 4: Simplify right side
    128,070x = 35,325,954,304
  5. Step 5: Solve for x
    x = 35,325,954,304/128,070
  6. Step 6: Final answer
    x = 275,833.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.