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Finding the Third Proportional to 343,986 and 729,599

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Solution

The third proportional to 343,986 and 729,599 is: 1,547,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,986 : 729,599 = 729,599 : x
  2. Step 2: Convert to fraction form
    343,986/729,599 = 729,599/x
  3. Step 3: Cross multiply
    343,986x = 729,599 × 729,599
  4. Step 4: Simplify right side
    343,986x = 532,314,700,801
  5. Step 5: Solve for x
    x = 532,314,700,801/343,986
  6. Step 6: Final answer
    x = 1,547,489.44

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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.