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Finding the Third Proportional to 29,890 and 64,390

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Solution

The third proportional to 29,890 and 64,390 is: 138,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,890 : 64,390 = 64,390 : x
  2. Step 2: Convert to fraction form
    29,890/64,390 = 64,390/x
  3. Step 3: Cross multiply
    29,890x = 64,390 × 64,390
  4. Step 4: Simplify right side
    29,890x = 4,146,072,100
  5. Step 5: Solve for x
    x = 4,146,072,100/29,890
  6. Step 6: Final answer
    x = 138,711.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.