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Finding the Third Proportional to 343,351 and 771,140

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Solution

The third proportional to 343,351 and 771,140 is: 1,731,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,351 : 771,140 = 771,140 : x
  2. Step 2: Convert to fraction form
    343,351/771,140 = 771,140/x
  3. Step 3: Cross multiply
    343,351x = 771,140 × 771,140
  4. Step 4: Simplify right side
    343,351x = 594,656,899,600
  5. Step 5: Solve for x
    x = 594,656,899,600/343,351
  6. Step 6: Final answer
    x = 1,731,921.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.