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Finding the Third Proportional to 72,911 and 157,203

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Solution

The third proportional to 72,911 and 157,203 is: 338,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,911 : 157,203 = 157,203 : x
  2. Step 2: Convert to fraction form
    72,911/157,203 = 157,203/x
  3. Step 3: Cross multiply
    72,911x = 157,203 × 157,203
  4. Step 4: Simplify right side
    72,911x = 24,712,783,209
  5. Step 5: Solve for x
    x = 24,712,783,209/72,911
  6. Step 6: Final answer
    x = 338,944.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.