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Finding the Third Proportional to 69,570 and 151,560

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Solution

The third proportional to 69,570 and 151,560 is: 330,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,570 : 151,560 = 151,560 : x
  2. Step 2: Convert to fraction form
    69,570/151,560 = 151,560/x
  3. Step 3: Cross multiply
    69,570x = 151,560 × 151,560
  4. Step 4: Simplify right side
    69,570x = 22,970,433,600
  5. Step 5: Solve for x
    x = 22,970,433,600/69,570
  6. Step 6: Final answer
    x = 330,177.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.