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Finding the Third Proportional to 170,790 and 272,841

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Solution

The third proportional to 170,790 and 272,841 is: 435,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,790 : 272,841 = 272,841 : x
  2. Step 2: Convert to fraction form
    170,790/272,841 = 272,841/x
  3. Step 3: Cross multiply
    170,790x = 272,841 × 272,841
  4. Step 4: Simplify right side
    170,790x = 74,442,211,281
  5. Step 5: Solve for x
    x = 74,442,211,281/170,790
  6. Step 6: Final answer
    x = 435,869.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.