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Finding the Third Proportional to 307,838 and 472,854

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Solution

The third proportional to 307,838 and 472,854 is: 726,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,838 : 472,854 = 472,854 : x
  2. Step 2: Convert to fraction form
    307,838/472,854 = 472,854/x
  3. Step 3: Cross multiply
    307,838x = 472,854 × 472,854
  4. Step 4: Simplify right side
    307,838x = 223,590,905,316
  5. Step 5: Solve for x
    x = 223,590,905,316/307,838
  6. Step 6: Final answer
    x = 726,326.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.