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Finding the Third Proportional to 343,431 and 755,376

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Solution

The third proportional to 343,431 and 755,376 is: 1,661,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,431 : 755,376 = 755,376 : x
  2. Step 2: Convert to fraction form
    343,431/755,376 = 755,376/x
  3. Step 3: Cross multiply
    343,431x = 755,376 × 755,376
  4. Step 4: Simplify right side
    343,431x = 570,592,901,376
  5. Step 5: Solve for x
    x = 570,592,901,376/343,431
  6. Step 6: Final answer
    x = 1,661,448.45

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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.