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Finding the Third Proportional to 30,157.50 and 64,455.75

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Solution

The third proportional to 30,157.50 and 64,455.75 is: 137,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157.50 : 64,455.75 = 64,455.75 : x
  2. Step 2: Convert to fraction form
    30,157.50/64,455.75 = 64,455.75/x
  3. Step 3: Cross multiply
    30,157.50x = 64,455.75 × 64,455.75
  4. Step 4: Simplify right side
    30,157.50x = 4,154,543,708.06
  5. Step 5: Solve for x
    x = 4,154,543,708.06/30,157.50
  6. Step 6: Final answer
    x = 137,761.54

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1.5x scale

Why These Related Problems?

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