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Finding the Third Proportional to 30,209.50 and 64,794.50

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Solution

The third proportional to 30,209.50 and 64,794.50 is: 138,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.50 : 64,794.50 = 64,794.50 : x
  2. Step 2: Convert to fraction form
    30,209.50/64,794.50 = 64,794.50/x
  3. Step 3: Cross multiply
    30,209.50x = 64,794.50 × 64,794.50
  4. Step 4: Simplify right side
    30,209.50x = 4,198,327,230.25
  5. Step 5: Solve for x
    x = 4,198,327,230.25/30,209.50
  6. Step 6: Final answer
    x = 138,973.74

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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.