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Finding the Third Proportional to 30,462.75 and 70,515.75

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Solution

The third proportional to 30,462.75 and 70,515.75 is: 163,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.75 : 70,515.75 = 70,515.75 : x
  2. Step 2: Convert to fraction form
    30,462.75/70,515.75 = 70,515.75/x
  3. Step 3: Cross multiply
    30,462.75x = 70,515.75 × 70,515.75
  4. Step 4: Simplify right side
    30,462.75x = 4,972,470,998.06
  5. Step 5: Solve for x
    x = 4,972,470,998.06/30,462.75
  6. Step 6: Final answer
    x = 163,231.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.