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Finding the Third Proportional to 234,009 and 513,216

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Solution

The third proportional to 234,009 and 513,216 is: 1,125,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,009 : 513,216 = 513,216 : x
  2. Step 2: Convert to fraction form
    234,009/513,216 = 513,216/x
  3. Step 3: Cross multiply
    234,009x = 513,216 × 513,216
  4. Step 4: Simplify right side
    234,009x = 263,390,662,656
  5. Step 5: Solve for x
    x = 263,390,662,656/234,009
  6. Step 6: Final answer
    x = 1,125,557.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.