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Finding the Third Proportional to 30,309 and 64,829

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Solution

The third proportional to 30,309 and 64,829 is: 138,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309 : 64,829 = 64,829 : x
  2. Step 2: Convert to fraction form
    30,309/64,829 = 64,829/x
  3. Step 3: Cross multiply
    30,309x = 64,829 × 64,829
  4. Step 4: Simplify right side
    30,309x = 4,202,799,241
  5. Step 5: Solve for x
    x = 4,202,799,241/30,309
  6. Step 6: Final answer
    x = 138,665.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.