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Finding the Third Proportional to 160,243 and 232,102

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Solution

The third proportional to 160,243 and 232,102 is: 336,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,243 : 232,102 = 232,102 : x
  2. Step 2: Convert to fraction form
    160,243/232,102 = 232,102/x
  3. Step 3: Cross multiply
    160,243x = 232,102 × 232,102
  4. Step 4: Simplify right side
    160,243x = 53,871,338,404
  5. Step 5: Solve for x
    x = 53,871,338,404/160,243
  6. Step 6: Final answer
    x = 336,185.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.