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Finding the Third Proportional to 30,259 and 65,692

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Solution

The third proportional to 30,259 and 65,692 is: 142,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259 : 65,692 = 65,692 : x
  2. Step 2: Convert to fraction form
    30,259/65,692 = 65,692/x
  3. Step 3: Cross multiply
    30,259x = 65,692 × 65,692
  4. Step 4: Simplify right side
    30,259x = 4,315,438,864
  5. Step 5: Solve for x
    x = 4,315,438,864/30,259
  6. Step 6: Final answer
    x = 142,616.70

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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.