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Finding the Third Proportional to 161,707 and 254,441

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Solution

The third proportional to 161,707 and 254,441 is: 400,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,707 : 254,441 = 254,441 : x
  2. Step 2: Convert to fraction form
    161,707/254,441 = 254,441/x
  3. Step 3: Cross multiply
    161,707x = 254,441 × 254,441
  4. Step 4: Simplify right side
    161,707x = 64,740,222,481
  5. Step 5: Solve for x
    x = 64,740,222,481/161,707
  6. Step 6: Final answer
    x = 400,355.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.