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Finding the Third Proportional to 77,340 and 162,972

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Solution

The third proportional to 77,340 and 162,972 is: 343,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,340 : 162,972 = 162,972 : x
  2. Step 2: Convert to fraction form
    77,340/162,972 = 162,972/x
  3. Step 3: Cross multiply
    77,340x = 162,972 × 162,972
  4. Step 4: Simplify right side
    77,340x = 26,559,872,784
  5. Step 5: Solve for x
    x = 26,559,872,784/77,340
  6. Step 6: Final answer
    x = 343,417.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.