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Finding the Third Proportional to 292,837 and 641,707

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Solution

The third proportional to 292,837 and 641,707 is: 1,406,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,837 : 641,707 = 641,707 : x
  2. Step 2: Convert to fraction form
    292,837/641,707 = 641,707/x
  3. Step 3: Cross multiply
    292,837x = 641,707 × 641,707
  4. Step 4: Simplify right side
    292,837x = 411,787,873,849
  5. Step 5: Solve for x
    x = 411,787,873,849/292,837
  6. Step 6: Final answer
    x = 1,406,201.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.