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Finding the Third Proportional to 387,129 and 835,488

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Solution

The third proportional to 387,129 and 835,488 is: 1,803,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,129 : 835,488 = 835,488 : x
  2. Step 2: Convert to fraction form
    387,129/835,488 = 835,488/x
  3. Step 3: Cross multiply
    387,129x = 835,488 × 835,488
  4. Step 4: Simplify right side
    387,129x = 698,040,198,144
  5. Step 5: Solve for x
    x = 698,040,198,144/387,129
  6. Step 6: Final answer
    x = 1,803,120.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.