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Finding the Third Proportional to 151,439 and 235,148

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Solution

The third proportional to 151,439 and 235,148 is: 365,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,439 : 235,148 = 235,148 : x
  2. Step 2: Convert to fraction form
    151,439/235,148 = 235,148/x
  3. Step 3: Cross multiply
    151,439x = 235,148 × 235,148
  4. Step 4: Simplify right side
    151,439x = 55,294,581,904
  5. Step 5: Solve for x
    x = 55,294,581,904/151,439
  6. Step 6: Final answer
    x = 365,127.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.