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Finding the Third Proportional to 128,857 and 181,459

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Solution

The third proportional to 128,857 and 181,459 is: 255,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,857 : 181,459 = 181,459 : x
  2. Step 2: Convert to fraction form
    128,857/181,459 = 181,459/x
  3. Step 3: Cross multiply
    128,857x = 181,459 × 181,459
  4. Step 4: Simplify right side
    128,857x = 32,927,368,681
  5. Step 5: Solve for x
    x = 32,927,368,681/128,857
  6. Step 6: Final answer
    x = 255,534.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.