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Finding the Third Proportional to 72,072 and 157,266

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Solution

The third proportional to 72,072 and 157,266 is: 343,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,072 : 157,266 = 157,266 : x
  2. Step 2: Convert to fraction form
    72,072/157,266 = 157,266/x
  3. Step 3: Cross multiply
    72,072x = 157,266 × 157,266
  4. Step 4: Simplify right side
    72,072x = 24,732,594,756
  5. Step 5: Solve for x
    x = 24,732,594,756/72,072
  6. Step 6: Final answer
    x = 343,165.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.