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Finding the Third Proportional to 153,922 and 338,102

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Solution

The third proportional to 153,922 and 338,102 is: 742,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,922 : 338,102 = 338,102 : x
  2. Step 2: Convert to fraction form
    153,922/338,102 = 338,102/x
  3. Step 3: Cross multiply
    153,922x = 338,102 × 338,102
  4. Step 4: Simplify right side
    153,922x = 114,312,962,404
  5. Step 5: Solve for x
    x = 114,312,962,404/153,922
  6. Step 6: Final answer
    x = 742,668.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.