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Finding the Third Proportional to 30,585 and 67,379.25

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Solution

The third proportional to 30,585 and 67,379.25 is: 148,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585 : 67,379.25 = 67,379.25 : x
  2. Step 2: Convert to fraction form
    30,585/67,379.25 = 67,379.25/x
  3. Step 3: Cross multiply
    30,585x = 67,379.25 × 67,379.25
  4. Step 4: Simplify right side
    30,585x = 4,539,963,330.56
  5. Step 5: Solve for x
    x = 4,539,963,330.56/30,585
  6. Step 6: Final answer
    x = 148,437.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.