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Finding the Third Proportional to 141,562 and 309,376

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Solution

The third proportional to 141,562 and 309,376 is: 676,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,562 : 309,376 = 309,376 : x
  2. Step 2: Convert to fraction form
    141,562/309,376 = 309,376/x
  3. Step 3: Cross multiply
    141,562x = 309,376 × 309,376
  4. Step 4: Simplify right side
    141,562x = 95,713,509,376
  5. Step 5: Solve for x
    x = 95,713,509,376/141,562
  6. Step 6: Final answer
    x = 676,124.31

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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.