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Finding the Third Proportional to 343,981 and 729,590

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Solution

The third proportional to 343,981 and 729,590 is: 1,547,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,981 : 729,590 = 729,590 : x
  2. Step 2: Convert to fraction form
    343,981/729,590 = 729,590/x
  3. Step 3: Cross multiply
    343,981x = 729,590 × 729,590
  4. Step 4: Simplify right side
    343,981x = 532,301,568,100
  5. Step 5: Solve for x
    x = 532,301,568,100/343,981
  6. Step 6: Final answer
    x = 1,547,473.75

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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.