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Finding the Third Proportional to 28,565 and 40,599.50

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Solution

The third proportional to 28,565 and 40,599.50 is: 57,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565 : 40,599.50 = 40,599.50 : x
  2. Step 2: Convert to fraction form
    28,565/40,599.50 = 40,599.50/x
  3. Step 3: Cross multiply
    28,565x = 40,599.50 × 40,599.50
  4. Step 4: Simplify right side
    28,565x = 1,648,319,400.25
  5. Step 5: Solve for x
    x = 1,648,319,400.25/28,565
  6. Step 6: Final answer
    x = 57,704.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.