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Finding the Third Proportional to 30,120 and 65,607

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Solution

The third proportional to 30,120 and 65,607 is: 142,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,120 : 65,607 = 65,607 : x
  2. Step 2: Convert to fraction form
    30,120/65,607 = 65,607/x
  3. Step 3: Cross multiply
    30,120x = 65,607 × 65,607
  4. Step 4: Simplify right side
    30,120x = 4,304,278,449
  5. Step 5: Solve for x
    x = 4,304,278,449/30,120
  6. Step 6: Final answer
    x = 142,904.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.