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Finding the Third Proportional to 128,841 and 185,572

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Solution

The third proportional to 128,841 and 185,572 is: 267,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,841 : 185,572 = 185,572 : x
  2. Step 2: Convert to fraction form
    128,841/185,572 = 185,572/x
  3. Step 3: Cross multiply
    128,841x = 185,572 × 185,572
  4. Step 4: Simplify right side
    128,841x = 34,436,967,184
  5. Step 5: Solve for x
    x = 34,436,967,184/128,841
  6. Step 6: Final answer
    x = 267,282.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.