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Finding the Third Proportional to 40,317 and 56,390.25

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Solution

The third proportional to 40,317 and 56,390.25 is: 78,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,317 : 56,390.25 = 56,390.25 : x
  2. Step 2: Convert to fraction form
    40,317/56,390.25 = 56,390.25/x
  3. Step 3: Cross multiply
    40,317x = 56,390.25 × 56,390.25
  4. Step 4: Simplify right side
    40,317x = 3,179,860,295.06
  5. Step 5: Solve for x
    x = 3,179,860,295.06/40,317
  6. Step 6: Final answer
    x = 78,871.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.