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Finding the Third Proportional to 343,108 and 756,020

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Solution

The third proportional to 343,108 and 756,020 is: 1,665,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,108 : 756,020 = 756,020 : x
  2. Step 2: Convert to fraction form
    343,108/756,020 = 756,020/x
  3. Step 3: Cross multiply
    343,108x = 756,020 × 756,020
  4. Step 4: Simplify right side
    343,108x = 571,566,240,400
  5. Step 5: Solve for x
    x = 571,566,240,400/343,108
  6. Step 6: Final answer
    x = 1,665,849.35

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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.