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Finding the Third Proportional to 343,467 and 744,138

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Solution

The third proportional to 343,467 and 744,138 is: 1,612,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,467 : 744,138 = 744,138 : x
  2. Step 2: Convert to fraction form
    343,467/744,138 = 744,138/x
  3. Step 3: Cross multiply
    343,467x = 744,138 × 744,138
  4. Step 4: Simplify right side
    343,467x = 553,741,363,044
  5. Step 5: Solve for x
    x = 553,741,363,044/343,467
  6. Step 6: Final answer
    x = 1,612,211.25

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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.