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Finding the Third Proportional to 641,220 and 1,000,644

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Solution

The third proportional to 641,220 and 1,000,644 is: 1,561,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,220 : 1,000,644 = 1,000,644 : x
  2. Step 2: Convert to fraction form
    641,220/1,000,644 = 1,000,644/x
  3. Step 3: Cross multiply
    641,220x = 1,000,644 × 1,000,644
  4. Step 4: Simplify right side
    641,220x = 1,001,288,414,736
  5. Step 5: Solve for x
    x = 1,001,288,414,736/641,220
  6. Step 6: Final answer
    x = 1,561,536.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.