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Finding the Third Proportional to 30,412.50 and 66,745.88

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Solution

The third proportional to 30,412.50 and 66,745.88 is: 146,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.50 : 66,745.88 = 66,745.88 : x
  2. Step 2: Convert to fraction form
    30,412.50/66,745.88 = 66,745.88/x
  3. Step 3: Cross multiply
    30,412.50x = 66,745.88 × 66,745.88
  4. Step 4: Simplify right side
    30,412.50x = 4,455,011,829.52
  5. Step 5: Solve for x
    x = 4,455,011,829.52/30,412.50
  6. Step 6: Final answer
    x = 146,486.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.