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Finding the Third Proportional to 307,448 and 392,844

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Solution

The third proportional to 307,448 and 392,844 is: 501,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,448 : 392,844 = 392,844 : x
  2. Step 2: Convert to fraction form
    307,448/392,844 = 392,844/x
  3. Step 3: Cross multiply
    307,448x = 392,844 × 392,844
  4. Step 4: Simplify right side
    307,448x = 154,326,408,336
  5. Step 5: Solve for x
    x = 154,326,408,336/307,448
  6. Step 6: Final answer
    x = 501,959.38

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.