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Finding the Third Proportional to 29,912 and 64,777

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Solution

The third proportional to 29,912 and 64,777 is: 140,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912 : 64,777 = 64,777 : x
  2. Step 2: Convert to fraction form
    29,912/64,777 = 64,777/x
  3. Step 3: Cross multiply
    29,912x = 64,777 × 64,777
  4. Step 4: Simplify right side
    29,912x = 4,196,059,729
  5. Step 5: Solve for x
    x = 4,196,059,729/29,912
  6. Step 6: Final answer
    x = 140,280.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.