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Finding the Third Proportional to 72,116 and 157,804

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Solution

The third proportional to 72,116 and 157,804 is: 345,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,116 : 157,804 = 157,804 : x
  2. Step 2: Convert to fraction form
    72,116/157,804 = 157,804/x
  3. Step 3: Cross multiply
    72,116x = 157,804 × 157,804
  4. Step 4: Simplify right side
    72,116x = 24,902,102,416
  5. Step 5: Solve for x
    x = 24,902,102,416/72,116
  6. Step 6: Final answer
    x = 345,306.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.