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Finding the Third Proportional to 141,328 and 309,220

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Solution

The third proportional to 141,328 and 309,220 is: 676,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,328 : 309,220 = 309,220 : x
  2. Step 2: Convert to fraction form
    141,328/309,220 = 309,220/x
  3. Step 3: Cross multiply
    141,328x = 309,220 × 309,220
  4. Step 4: Simplify right side
    141,328x = 95,617,008,400
  5. Step 5: Solve for x
    x = 95,617,008,400/141,328
  6. Step 6: Final answer
    x = 676,560.97

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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.