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Finding the Third Proportional to 72,097 and 157,769

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Solution

The third proportional to 72,097 and 157,769 is: 345,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,097 : 157,769 = 157,769 : x
  2. Step 2: Convert to fraction form
    72,097/157,769 = 157,769/x
  3. Step 3: Cross multiply
    72,097x = 157,769 × 157,769
  4. Step 4: Simplify right side
    72,097x = 24,891,057,361
  5. Step 5: Solve for x
    x = 24,891,057,361/72,097
  6. Step 6: Final answer
    x = 345,244.01

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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.