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Finding the Third Proportional to 28,757 and 64,210

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Solution

The third proportional to 28,757 and 64,210 is: 143,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,757 : 64,210 = 64,210 : x
  2. Step 2: Convert to fraction form
    28,757/64,210 = 64,210/x
  3. Step 3: Cross multiply
    28,757x = 64,210 × 64,210
  4. Step 4: Simplify right side
    28,757x = 4,122,924,100
  5. Step 5: Solve for x
    x = 4,122,924,100/28,757
  6. Step 6: Final answer
    x = 143,371.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.