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Finding the Third Proportional to 70,200.42 and 156,205.34

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Solution

The third proportional to 70,200.42 and 156,205.34 is: 347,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200.42 : 156,205.34 = 156,205.34 : x
  2. Step 2: Convert to fraction form
    70,200.42/156,205.34 = 156,205.34/x
  3. Step 3: Cross multiply
    70,200.42x = 156,205.34 × 156,205.34
  4. Step 4: Simplify right side
    70,200.42x = 24,400,106,975.35
  5. Step 5: Solve for x
    x = 24,400,106,975.35/70,200.42
  6. Step 6: Final answer
    x = 347,577.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.