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Finding the Third Proportional to 28,964 and 40,422

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Solution

The third proportional to 28,964 and 40,422 is: 56,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,964 : 40,422 = 40,422 : x
  2. Step 2: Convert to fraction form
    28,964/40,422 = 40,422/x
  3. Step 3: Cross multiply
    28,964x = 40,422 × 40,422
  4. Step 4: Simplify right side
    28,964x = 1,633,938,084
  5. Step 5: Solve for x
    x = 1,633,938,084/28,964
  6. Step 6: Final answer
    x = 56,412.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.