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Finding the Third Proportional to 343,773 and 757,287

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Solution

The third proportional to 343,773 and 757,287 is: 1,668,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,773 : 757,287 = 757,287 : x
  2. Step 2: Convert to fraction form
    343,773/757,287 = 757,287/x
  3. Step 3: Cross multiply
    343,773x = 757,287 × 757,287
  4. Step 4: Simplify right side
    343,773x = 573,483,600,369
  5. Step 5: Solve for x
    x = 573,483,600,369/343,773
  6. Step 6: Final answer
    x = 1,668,204.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.