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Finding the Third Proportional to 28,090 and 64,865

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Solution

The third proportional to 28,090 and 64,865 is: 149,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,090 : 64,865 = 64,865 : x
  2. Step 2: Convert to fraction form
    28,090/64,865 = 64,865/x
  3. Step 3: Cross multiply
    28,090x = 64,865 × 64,865
  4. Step 4: Simplify right side
    28,090x = 4,207,468,225
  5. Step 5: Solve for x
    x = 4,207,468,225/28,090
  6. Step 6: Final answer
    x = 149,785.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.