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Finding the Third Proportional to 156,557 and 338,120

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Solution

The third proportional to 156,557 and 338,120 is: 730,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,557 : 338,120 = 338,120 : x
  2. Step 2: Convert to fraction form
    156,557/338,120 = 338,120/x
  3. Step 3: Cross multiply
    156,557x = 338,120 × 338,120
  4. Step 4: Simplify right side
    156,557x = 114,325,134,400
  5. Step 5: Solve for x
    x = 114,325,134,400/156,557
  6. Step 6: Final answer
    x = 730,246.07

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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.