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Finding the Third Proportional to 349,508 and 749,992

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Solution

The third proportional to 349,508 and 749,992 is: 1,609,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,508 : 749,992 = 749,992 : x
  2. Step 2: Convert to fraction form
    349,508/749,992 = 749,992/x
  3. Step 3: Cross multiply
    349,508x = 749,992 × 749,992
  4. Step 4: Simplify right side
    349,508x = 562,488,000,064
  5. Step 5: Solve for x
    x = 562,488,000,064/349,508
  6. Step 6: Final answer
    x = 1,609,370.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.