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Finding the Third Proportional to 155,006 and 219,394

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Solution

The third proportional to 155,006 and 219,394 is: 310,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,006 : 219,394 = 219,394 : x
  2. Step 2: Convert to fraction form
    155,006/219,394 = 219,394/x
  3. Step 3: Cross multiply
    155,006x = 219,394 × 219,394
  4. Step 4: Simplify right side
    155,006x = 48,133,727,236
  5. Step 5: Solve for x
    x = 48,133,727,236/155,006
  6. Step 6: Final answer
    x = 310,528.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.