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Finding the Third Proportional to 30,535 and 66,974

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Solution

The third proportional to 30,535 and 66,974 is: 146,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535 : 66,974 = 66,974 : x
  2. Step 2: Convert to fraction form
    30,535/66,974 = 66,974/x
  3. Step 3: Cross multiply
    30,535x = 66,974 × 66,974
  4. Step 4: Simplify right side
    30,535x = 4,485,516,676
  5. Step 5: Solve for x
    x = 4,485,516,676/30,535
  6. Step 6: Final answer
    x = 146,897.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.