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Finding the Third Proportional to 30,691 and 45,063

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Solution

The third proportional to 30,691 and 45,063 is: 66,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691 : 45,063 = 45,063 : x
  2. Step 2: Convert to fraction form
    30,691/45,063 = 45,063/x
  3. Step 3: Cross multiply
    30,691x = 45,063 × 45,063
  4. Step 4: Simplify right side
    30,691x = 2,030,673,969
  5. Step 5: Solve for x
    x = 2,030,673,969/30,691
  6. Step 6: Final answer
    x = 66,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.