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Finding the Third Proportional to 30,023 and 65,331

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Solution

The third proportional to 30,023 and 65,331 is: 142,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023 : 65,331 = 65,331 : x
  2. Step 2: Convert to fraction form
    30,023/65,331 = 65,331/x
  3. Step 3: Cross multiply
    30,023x = 65,331 × 65,331
  4. Step 4: Simplify right side
    30,023x = 4,268,139,561
  5. Step 5: Solve for x
    x = 4,268,139,561/30,023
  6. Step 6: Final answer
    x = 142,162.33

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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.