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Finding the Third Proportional to 342,928 and 751,239

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Solution

The third proportional to 342,928 and 751,239 is: 1,645,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,928 : 751,239 = 751,239 : x
  2. Step 2: Convert to fraction form
    342,928/751,239 = 751,239/x
  3. Step 3: Cross multiply
    342,928x = 751,239 × 751,239
  4. Step 4: Simplify right side
    342,928x = 564,360,035,121
  5. Step 5: Solve for x
    x = 564,360,035,121/342,928
  6. Step 6: Final answer
    x = 1,645,709.99

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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.