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Finding the Third Proportional to 66,458.25 and 145,833.75

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Solution

The third proportional to 66,458.25 and 145,833.75 is: 320,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,458.25 : 145,833.75 = 145,833.75 : x
  2. Step 2: Convert to fraction form
    66,458.25/145,833.75 = 145,833.75/x
  3. Step 3: Cross multiply
    66,458.25x = 145,833.75 × 145,833.75
  4. Step 4: Simplify right side
    66,458.25x = 21,267,482,639.06
  5. Step 5: Solve for x
    x = 21,267,482,639.06/66,458.25
  6. Step 6: Final answer
    x = 320,012.68

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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.