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Finding the Third Proportional to 77,943 and 168,342

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Solution

The third proportional to 77,943 and 168,342 is: 363,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,943 : 168,342 = 168,342 : x
  2. Step 2: Convert to fraction form
    77,943/168,342 = 168,342/x
  3. Step 3: Cross multiply
    77,943x = 168,342 × 168,342
  4. Step 4: Simplify right side
    77,943x = 28,339,028,964
  5. Step 5: Solve for x
    x = 28,339,028,964/77,943
  6. Step 6: Final answer
    x = 363,586.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.