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Finding the Third Proportional to 30,518 and 64,317

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Solution

The third proportional to 30,518 and 64,317 is: 135,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518 : 64,317 = 64,317 : x
  2. Step 2: Convert to fraction form
    30,518/64,317 = 64,317/x
  3. Step 3: Cross multiply
    30,518x = 64,317 × 64,317
  4. Step 4: Simplify right side
    30,518x = 4,136,676,489
  5. Step 5: Solve for x
    x = 4,136,676,489/30,518
  6. Step 6: Final answer
    x = 135,548.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.