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Finding the Third Proportional to 64,390 and 96,215

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Solution

The third proportional to 64,390 and 96,215 is: 143,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,390 : 96,215 = 96,215 : x
  2. Step 2: Convert to fraction form
    64,390/96,215 = 96,215/x
  3. Step 3: Cross multiply
    64,390x = 96,215 × 96,215
  4. Step 4: Simplify right side
    64,390x = 9,257,326,225
  5. Step 5: Solve for x
    x = 9,257,326,225/64,390
  6. Step 6: Final answer
    x = 143,769.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.