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Finding the Third Proportional to 78,322 and 119,322

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Solution

The third proportional to 78,322 and 119,322 is: 181,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,322 : 119,322 = 119,322 : x
  2. Step 2: Convert to fraction form
    78,322/119,322 = 119,322/x
  3. Step 3: Cross multiply
    78,322x = 119,322 × 119,322
  4. Step 4: Simplify right side
    78,322x = 14,237,739,684
  5. Step 5: Solve for x
    x = 14,237,739,684/78,322
  6. Step 6: Final answer
    x = 181,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.