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Finding the Third Proportional to 30,657 and 67,335

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Solution

The third proportional to 30,657 and 67,335 is: 147,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657 : 67,335 = 67,335 : x
  2. Step 2: Convert to fraction form
    30,657/67,335 = 67,335/x
  3. Step 3: Cross multiply
    30,657x = 67,335 × 67,335
  4. Step 4: Simplify right side
    30,657x = 4,534,002,225
  5. Step 5: Solve for x
    x = 4,534,002,225/30,657
  6. Step 6: Final answer
    x = 147,894.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.