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Finding the Third Proportional to 643,482 and 1,385,622

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Solution

The third proportional to 643,482 and 1,385,622 is: 2,983,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,482 : 1,385,622 = 1,385,622 : x
  2. Step 2: Convert to fraction form
    643,482/1,385,622 = 1,385,622/x
  3. Step 3: Cross multiply
    643,482x = 1,385,622 × 1,385,622
  4. Step 4: Simplify right side
    643,482x = 1,919,948,326,884
  5. Step 5: Solve for x
    x = 1,919,948,326,884/643,482
  6. Step 6: Final answer
    x = 2,983,686.14

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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.