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Finding the Third Proportional to 30,445.50 and 66,711

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Solution

The third proportional to 30,445.50 and 66,711 is: 146,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,445.50 : 66,711 = 66,711 : x
  2. Step 2: Convert to fraction form
    30,445.50/66,711 = 66,711/x
  3. Step 3: Cross multiply
    30,445.50x = 66,711 × 66,711
  4. Step 4: Simplify right side
    30,445.50x = 4,450,357,521
  5. Step 5: Solve for x
    x = 4,450,357,521/30,445.50
  6. Step 6: Final answer
    x = 146,174.56

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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.