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Finding the Third Proportional to 42,255 and 65,807.44

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Solution

The third proportional to 42,255 and 65,807.44 is: 102,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,255 : 65,807.44 = 65,807.44 : x
  2. Step 2: Convert to fraction form
    42,255/65,807.44 = 65,807.44/x
  3. Step 3: Cross multiply
    42,255x = 65,807.44 × 65,807.44
  4. Step 4: Simplify right side
    42,255x = 4,330,618,830.32
  5. Step 5: Solve for x
    x = 4,330,618,830.32/42,255
  6. Step 6: Final answer
    x = 102,487.73

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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.