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Finding the Third Proportional to 643,743 and 1,385,658

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Solution

The third proportional to 643,743 and 1,385,658 is: 2,982,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,743 : 1,385,658 = 1,385,658 : x
  2. Step 2: Convert to fraction form
    643,743/1,385,658 = 1,385,658/x
  3. Step 3: Cross multiply
    643,743x = 1,385,658 × 1,385,658
  4. Step 4: Simplify right side
    643,743x = 1,920,048,092,964
  5. Step 5: Solve for x
    x = 1,920,048,092,964/643,743
  6. Step 6: Final answer
    x = 2,982,631.41

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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.