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Finding the Third Proportional to 387,728 and 837,724

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Solution

The third proportional to 387,728 and 837,724 is: 1,809,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,728 : 837,724 = 837,724 : x
  2. Step 2: Convert to fraction form
    387,728/837,724 = 837,724/x
  3. Step 3: Cross multiply
    387,728x = 837,724 × 837,724
  4. Step 4: Simplify right side
    387,728x = 701,781,500,176
  5. Step 5: Solve for x
    x = 701,781,500,176/387,728
  6. Step 6: Final answer
    x = 1,809,984.06

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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.