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Finding the Third Proportional to 70,539.75 and 153,931.50

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Solution

The third proportional to 70,539.75 and 153,931.50 is: 335,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,539.75 : 153,931.50 = 153,931.50 : x
  2. Step 2: Convert to fraction form
    70,539.75/153,931.50 = 153,931.50/x
  3. Step 3: Cross multiply
    70,539.75x = 153,931.50 × 153,931.50
  4. Step 4: Simplify right side
    70,539.75x = 23,694,906,692.25
  5. Step 5: Solve for x
    x = 23,694,906,692.25/70,539.75
  6. Step 6: Final answer
    x = 335,908.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.