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Finding the Third Proportional to 77,137.31 and 168,307.88

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Solution

The third proportional to 77,137.31 and 168,307.88 is: 367,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,137.31 : 168,307.88 = 168,307.88 : x
  2. Step 2: Convert to fraction form
    77,137.31/168,307.88 = 168,307.88/x
  3. Step 3: Cross multiply
    77,137.31x = 168,307.88 × 168,307.88
  4. Step 4: Simplify right side
    77,137.31x = 28,327,540,787.02
  5. Step 5: Solve for x
    x = 28,327,540,787.02/77,137.31
  6. Step 6: Final answer
    x = 367,235.26

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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.