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Finding the Third Proportional to 343,011 and 745,350

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Solution

The third proportional to 343,011 and 745,350 is: 1,619,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,011 : 745,350 = 745,350 : x
  2. Step 2: Convert to fraction form
    343,011/745,350 = 745,350/x
  3. Step 3: Cross multiply
    343,011x = 745,350 × 745,350
  4. Step 4: Simplify right side
    343,011x = 555,546,622,500
  5. Step 5: Solve for x
    x = 555,546,622,500/343,011
  6. Step 6: Final answer
    x = 1,619,617.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.