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Finding the Third Proportional to 387,458 and 523,326

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Solution

The third proportional to 387,458 and 523,326 is: 706,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,458 : 523,326 = 523,326 : x
  2. Step 2: Convert to fraction form
    387,458/523,326 = 523,326/x
  3. Step 3: Cross multiply
    387,458x = 523,326 × 523,326
  4. Step 4: Simplify right side
    387,458x = 273,870,102,276
  5. Step 5: Solve for x
    x = 273,870,102,276/387,458
  6. Step 6: Final answer
    x = 706,838.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.