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Finding the Third Proportional to 28,412 and 43,948

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Solution

The third proportional to 28,412 and 43,948 is: 67,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,412 : 43,948 = 43,948 : x
  2. Step 2: Convert to fraction form
    28,412/43,948 = 43,948/x
  3. Step 3: Cross multiply
    28,412x = 43,948 × 43,948
  4. Step 4: Simplify right side
    28,412x = 1,931,426,704
  5. Step 5: Solve for x
    x = 1,931,426,704/28,412
  6. Step 6: Final answer
    x = 67,979.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.