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Finding the Third Proportional to 141,536 and 309,324

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Solution

The third proportional to 141,536 and 309,324 is: 676,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,536 : 309,324 = 309,324 : x
  2. Step 2: Convert to fraction form
    141,536/309,324 = 309,324/x
  3. Step 3: Cross multiply
    141,536x = 309,324 × 309,324
  4. Step 4: Simplify right side
    141,536x = 95,681,336,976
  5. Step 5: Solve for x
    x = 95,681,336,976/141,536
  6. Step 6: Final answer
    x = 676,021.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.