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Finding the Third Proportional to 343,288 and 756,376

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Solution

The third proportional to 343,288 and 756,376 is: 1,666,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,288 : 756,376 = 756,376 : x
  2. Step 2: Convert to fraction form
    343,288/756,376 = 756,376/x
  3. Step 3: Cross multiply
    343,288x = 756,376 × 756,376
  4. Step 4: Simplify right side
    343,288x = 572,104,653,376
  5. Step 5: Solve for x
    x = 572,104,653,376/343,288
  6. Step 6: Final answer
    x = 1,666,544.28

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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.