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Finding the Third Proportional to 30,220 and 57,772

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Solution

The third proportional to 30,220 and 57,772 is: 110,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220 : 57,772 = 57,772 : x
  2. Step 2: Convert to fraction form
    30,220/57,772 = 57,772/x
  3. Step 3: Cross multiply
    30,220x = 57,772 × 57,772
  4. Step 4: Simplify right side
    30,220x = 3,337,603,984
  5. Step 5: Solve for x
    x = 3,337,603,984/30,220
  6. Step 6: Final answer
    x = 110,443.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.