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Finding the Third Proportional to 31,421.25 and 67,762.50

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Solution

The third proportional to 31,421.25 and 67,762.50 is: 146,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421.25 : 67,762.50 = 67,762.50 : x
  2. Step 2: Convert to fraction form
    31,421.25/67,762.50 = 67,762.50/x
  3. Step 3: Cross multiply
    31,421.25x = 67,762.50 × 67,762.50
  4. Step 4: Simplify right side
    31,421.25x = 4,591,756,406.25
  5. Step 5: Solve for x
    x = 4,591,756,406.25/31,421.25
  6. Step 6: Final answer
    x = 146,135.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.