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Finding the Third Proportional to 105,932 and 157,073

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Solution

The third proportional to 105,932 and 157,073 is: 232,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,932 : 157,073 = 157,073 : x
  2. Step 2: Convert to fraction form
    105,932/157,073 = 157,073/x
  3. Step 3: Cross multiply
    105,932x = 157,073 × 157,073
  4. Step 4: Simplify right side
    105,932x = 24,671,927,329
  5. Step 5: Solve for x
    x = 24,671,927,329/105,932
  6. Step 6: Final answer
    x = 232,903.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.