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Finding the Third Proportional to 28,585 and 40,840

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Solution

The third proportional to 28,585 and 40,840 is: 58,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,585 : 40,840 = 40,840 : x
  2. Step 2: Convert to fraction form
    28,585/40,840 = 40,840/x
  3. Step 3: Cross multiply
    28,585x = 40,840 × 40,840
  4. Step 4: Simplify right side
    28,585x = 1,667,905,600
  5. Step 5: Solve for x
    x = 1,667,905,600/28,585
  6. Step 6: Final answer
    x = 58,348.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.