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Finding the Third Proportional to 138,468 and 304,200

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Solution

The third proportional to 138,468 and 304,200 is: 668,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,468 : 304,200 = 304,200 : x
  2. Step 2: Convert to fraction form
    138,468/304,200 = 304,200/x
  3. Step 3: Cross multiply
    138,468x = 304,200 × 304,200
  4. Step 4: Simplify right side
    138,468x = 92,537,640,000
  5. Step 5: Solve for x
    x = 92,537,640,000/138,468
  6. Step 6: Final answer
    x = 668,296.21

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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.