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Finding the Third Proportional to 157,900 and 338,184

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Solution

The third proportional to 157,900 and 338,184 is: 724,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,900 : 338,184 = 338,184 : x
  2. Step 2: Convert to fraction form
    157,900/338,184 = 338,184/x
  3. Step 3: Cross multiply
    157,900x = 338,184 × 338,184
  4. Step 4: Simplify right side
    157,900x = 114,368,417,856
  5. Step 5: Solve for x
    x = 114,368,417,856/157,900
  6. Step 6: Final answer
    x = 724,309.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.