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Finding the Third Proportional to 71,172 and 153,369

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Solution

The third proportional to 71,172 and 153,369 is: 330,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172 : 153,369 = 153,369 : x
  2. Step 2: Convert to fraction form
    71,172/153,369 = 153,369/x
  3. Step 3: Cross multiply
    71,172x = 153,369 × 153,369
  4. Step 4: Simplify right side
    71,172x = 23,522,050,161
  5. Step 5: Solve for x
    x = 23,522,050,161/71,172
  6. Step 6: Final answer
    x = 330,495.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.