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Finding the Third Proportional to 137,838 and 221,154

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Solution

The third proportional to 137,838 and 221,154 is: 354,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,838 : 221,154 = 221,154 : x
  2. Step 2: Convert to fraction form
    137,838/221,154 = 221,154/x
  3. Step 3: Cross multiply
    137,838x = 221,154 × 221,154
  4. Step 4: Simplify right side
    137,838x = 48,909,091,716
  5. Step 5: Solve for x
    x = 48,909,091,716/137,838
  6. Step 6: Final answer
    x = 354,830.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.