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Finding the Third Proportional to 30,216 and 65,291

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Solution

The third proportional to 30,216 and 65,291 is: 141,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 65,291 = 65,291 : x
  2. Step 2: Convert to fraction form
    30,216/65,291 = 65,291/x
  3. Step 3: Cross multiply
    30,216x = 65,291 × 65,291
  4. Step 4: Simplify right side
    30,216x = 4,262,914,681
  5. Step 5: Solve for x
    x = 4,262,914,681/30,216
  6. Step 6: Final answer
    x = 141,081.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.