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Finding the Third Proportional to 836,642 and 1,256,871

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Solution

The third proportional to 836,642 and 1,256,871 is: 1,888,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,642 : 1,256,871 = 1,256,871 : x
  2. Step 2: Convert to fraction form
    836,642/1,256,871 = 1,256,871/x
  3. Step 3: Cross multiply
    836,642x = 1,256,871 × 1,256,871
  4. Step 4: Simplify right side
    836,642x = 1,579,724,710,641
  5. Step 5: Solve for x
    x = 1,579,724,710,641/836,642
  6. Step 6: Final answer
    x = 1,888,172.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.