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Finding the Third Proportional to 641,570 and 999,159

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Solution

The third proportional to 641,570 and 999,159 is: 1,556,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,570 : 999,159 = 999,159 : x
  2. Step 2: Convert to fraction form
    641,570/999,159 = 999,159/x
  3. Step 3: Cross multiply
    641,570x = 999,159 × 999,159
  4. Step 4: Simplify right side
    641,570x = 998,318,707,281
  5. Step 5: Solve for x
    x = 998,318,707,281/641,570
  6. Step 6: Final answer
    x = 1,556,055.78

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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.