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Finding the Third Proportional to 387,128 and 835,486

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Solution

The third proportional to 387,128 and 835,486 is: 1,803,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,128 : 835,486 = 835,486 : x
  2. Step 2: Convert to fraction form
    387,128/835,486 = 835,486/x
  3. Step 3: Cross multiply
    387,128x = 835,486 × 835,486
  4. Step 4: Simplify right side
    387,128x = 698,036,856,196
  5. Step 5: Solve for x
    x = 698,036,856,196/387,128
  6. Step 6: Final answer
    x = 1,803,116.43

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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.