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Finding the Third Proportional to 345,832 and 732,703

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Solution

The third proportional to 345,832 and 732,703 is: 1,552,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,832 : 732,703 = 732,703 : x
  2. Step 2: Convert to fraction form
    345,832/732,703 = 732,703/x
  3. Step 3: Cross multiply
    345,832x = 732,703 × 732,703
  4. Step 4: Simplify right side
    345,832x = 536,853,686,209
  5. Step 5: Solve for x
    x = 536,853,686,209/345,832
  6. Step 6: Final answer
    x = 1,552,353.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.