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Finding the Third Proportional to 42,652 and 64,578

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Solution

The third proportional to 42,652 and 64,578 is: 97,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652 : 64,578 = 64,578 : x
  2. Step 2: Convert to fraction form
    42,652/64,578 = 64,578/x
  3. Step 3: Cross multiply
    42,652x = 64,578 × 64,578
  4. Step 4: Simplify right side
    42,652x = 4,170,318,084
  5. Step 5: Solve for x
    x = 4,170,318,084/42,652
  6. Step 6: Final answer
    x = 97,775.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.