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Finding the Third Proportional to 42,515.44 and 66,357.84

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Solution

The third proportional to 42,515.44 and 66,357.84 is: 103,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,515.44 : 66,357.84 = 66,357.84 : x
  2. Step 2: Convert to fraction form
    42,515.44/66,357.84 = 66,357.84/x
  3. Step 3: Cross multiply
    42,515.44x = 66,357.84 × 66,357.84
  4. Step 4: Simplify right side
    42,515.44x = 4,403,363,427.15
  5. Step 5: Solve for x
    x = 4,403,363,427.15/42,515.44
  6. Step 6: Final answer
    x = 103,570.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.