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Finding the Third Proportional to 71,480.50 and 152,777.50

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Solution

The third proportional to 71,480.50 and 152,777.50 is: 326,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,480.50 : 152,777.50 = 152,777.50 : x
  2. Step 2: Convert to fraction form
    71,480.50/152,777.50 = 152,777.50/x
  3. Step 3: Cross multiply
    71,480.50x = 152,777.50 × 152,777.50
  4. Step 4: Simplify right side
    71,480.50x = 23,340,964,506.25
  5. Step 5: Solve for x
    x = 23,340,964,506.25/71,480.50
  6. Step 6: Final answer
    x = 326,536.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.