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Finding the Third Proportional to 387,377 and 836,998

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Solution

The third proportional to 387,377 and 836,998 is: 1,808,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,377 : 836,998 = 836,998 : x
  2. Step 2: Convert to fraction form
    387,377/836,998 = 836,998/x
  3. Step 3: Cross multiply
    387,377x = 836,998 × 836,998
  4. Step 4: Simplify right side
    387,377x = 700,565,652,004
  5. Step 5: Solve for x
    x = 700,565,652,004/387,377
  6. Step 6: Final answer
    x = 1,808,485.41

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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.