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Finding the Third Proportional to 40,509 and 61,317

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Solution

The third proportional to 40,509 and 61,317 is: 92,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,509 : 61,317 = 61,317 : x
  2. Step 2: Convert to fraction form
    40,509/61,317 = 61,317/x
  3. Step 3: Cross multiply
    40,509x = 61,317 × 61,317
  4. Step 4: Simplify right side
    40,509x = 3,759,774,489
  5. Step 5: Solve for x
    x = 3,759,774,489/40,509
  6. Step 6: Final answer
    x = 92,813.31

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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.