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Finding the Third Proportional to 73,209 and 159,803

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Solution

The third proportional to 73,209 and 159,803 is: 348,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,209 : 159,803 = 159,803 : x
  2. Step 2: Convert to fraction form
    73,209/159,803 = 159,803/x
  3. Step 3: Cross multiply
    73,209x = 159,803 × 159,803
  4. Step 4: Simplify right side
    73,209x = 25,536,998,809
  5. Step 5: Solve for x
    x = 25,536,998,809/73,209
  6. Step 6: Final answer
    x = 348,823.22

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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.