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Finding the Third Proportional to 78,557.34 and 170,775.84

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Solution

The third proportional to 78,557.34 and 170,775.84 is: 371,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,557.34 : 170,775.84 = 170,775.84 : x
  2. Step 2: Convert to fraction form
    78,557.34/170,775.84 = 170,775.84/x
  3. Step 3: Cross multiply
    78,557.34x = 170,775.84 × 170,775.84
  4. Step 4: Simplify right side
    78,557.34x = 29,164,388,808.52
  5. Step 5: Solve for x
    x = 29,164,388,808.52/78,557.34
  6. Step 6: Final answer
    x = 371,249.68

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