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Finding the Third Proportional to 643,751 and 1,385,674

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Solution

The third proportional to 643,751 and 1,385,674 is: 2,982,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,751 : 1,385,674 = 1,385,674 : x
  2. Step 2: Convert to fraction form
    643,751/1,385,674 = 1,385,674/x
  3. Step 3: Cross multiply
    643,751x = 1,385,674 × 1,385,674
  4. Step 4: Simplify right side
    643,751x = 1,920,092,434,276
  5. Step 5: Solve for x
    x = 1,920,092,434,276/643,751
  6. Step 6: Final answer
    x = 2,982,663.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.