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Finding the Third Proportional to 155,513 and 220,009

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Solution

The third proportional to 155,513 and 220,009 is: 311,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,513 : 220,009 = 220,009 : x
  2. Step 2: Convert to fraction form
    155,513/220,009 = 220,009/x
  3. Step 3: Cross multiply
    155,513x = 220,009 × 220,009
  4. Step 4: Simplify right side
    155,513x = 48,403,960,081
  5. Step 5: Solve for x
    x = 48,403,960,081/155,513
  6. Step 6: Final answer
    x = 311,253.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.