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Finding the Third Proportional to 25,709 and 40,742

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Solution

The third proportional to 25,709 and 40,742 is: 64,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709 : 40,742 = 40,742 : x
  2. Step 2: Convert to fraction form
    25,709/40,742 = 40,742/x
  3. Step 3: Cross multiply
    25,709x = 40,742 × 40,742
  4. Step 4: Simplify right side
    25,709x = 1,659,910,564
  5. Step 5: Solve for x
    x = 1,659,910,564/25,709
  6. Step 6: Final answer
    x = 64,565.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.