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Finding the Third Proportional to 128,770 and 147,544

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Solution

The third proportional to 128,770 and 147,544 is: 169,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770 : 147,544 = 147,544 : x
  2. Step 2: Convert to fraction form
    128,770/147,544 = 147,544/x
  3. Step 3: Cross multiply
    128,770x = 147,544 × 147,544
  4. Step 4: Simplify right side
    128,770x = 21,769,231,936
  5. Step 5: Solve for x
    x = 21,769,231,936/128,770
  6. Step 6: Final answer
    x = 169,055.15

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.