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Finding the Third Proportional to 69,424 and 151,688

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Solution

The third proportional to 69,424 and 151,688 is: 331,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,424 : 151,688 = 151,688 : x
  2. Step 2: Convert to fraction form
    69,424/151,688 = 151,688/x
  3. Step 3: Cross multiply
    69,424x = 151,688 × 151,688
  4. Step 4: Simplify right side
    69,424x = 23,009,249,344
  5. Step 5: Solve for x
    x = 23,009,249,344/69,424
  6. Step 6: Final answer
    x = 331,430.76

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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.