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Finding the Third Proportional to 30,229 and 65,810

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Solution

The third proportional to 30,229 and 65,810 is: 143,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229 : 65,810 = 65,810 : x
  2. Step 2: Convert to fraction form
    30,229/65,810 = 65,810/x
  3. Step 3: Cross multiply
    30,229x = 65,810 × 65,810
  4. Step 4: Simplify right side
    30,229x = 4,330,956,100
  5. Step 5: Solve for x
    x = 4,330,956,100/30,229
  6. Step 6: Final answer
    x = 143,271.56

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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.