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Finding the Third Proportional to 343,469 and 744,142

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Solution

The third proportional to 343,469 and 744,142 is: 1,612,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,469 : 744,142 = 744,142 : x
  2. Step 2: Convert to fraction form
    343,469/744,142 = 744,142/x
  3. Step 3: Cross multiply
    343,469x = 744,142 × 744,142
  4. Step 4: Simplify right side
    343,469x = 553,747,316,164
  5. Step 5: Solve for x
    x = 553,747,316,164/343,469
  6. Step 6: Final answer
    x = 1,612,219.20

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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.