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Finding the Third Proportional to 75,072 and 163,213

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Solution

The third proportional to 75,072 and 163,213 is: 354,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,072 : 163,213 = 163,213 : x
  2. Step 2: Convert to fraction form
    75,072/163,213 = 163,213/x
  3. Step 3: Cross multiply
    75,072x = 163,213 × 163,213
  4. Step 4: Simplify right side
    75,072x = 26,638,483,369
  5. Step 5: Solve for x
    x = 26,638,483,369/75,072
  6. Step 6: Final answer
    x = 354,839.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.