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Finding the Third Proportional to 40,216 and 70,448

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Solution

The third proportional to 40,216 and 70,448 is: 123,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216 : 70,448 = 70,448 : x
  2. Step 2: Convert to fraction form
    40,216/70,448 = 70,448/x
  3. Step 3: Cross multiply
    40,216x = 70,448 × 70,448
  4. Step 4: Simplify right side
    40,216x = 4,962,920,704
  5. Step 5: Solve for x
    x = 4,962,920,704/40,216
  6. Step 6: Final answer
    x = 123,406.62

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.