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Finding the Third Proportional to 349,355 and 748,516

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Solution

The third proportional to 349,355 and 748,516 is: 1,603,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,355 : 748,516 = 748,516 : x
  2. Step 2: Convert to fraction form
    349,355/748,516 = 748,516/x
  3. Step 3: Cross multiply
    349,355x = 748,516 × 748,516
  4. Step 4: Simplify right side
    349,355x = 560,276,202,256
  5. Step 5: Solve for x
    x = 560,276,202,256/349,355
  6. Step 6: Final answer
    x = 1,603,744.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.