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Finding the Third Proportional to 811,512 and 1,187,220

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Solution

The third proportional to 811,512 and 1,187,220 is: 1,736,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,512 : 1,187,220 = 1,187,220 : x
  2. Step 2: Convert to fraction form
    811,512/1,187,220 = 1,187,220/x
  3. Step 3: Cross multiply
    811,512x = 1,187,220 × 1,187,220
  4. Step 4: Simplify right side
    811,512x = 1,409,491,328,400
  5. Step 5: Solve for x
    x = 1,409,491,328,400/811,512
  6. Step 6: Final answer
    x = 1,736,870.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.