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Finding the Third Proportional to 851,382 and 1,818,431

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Solution

The third proportional to 851,382 and 1,818,431 is: 3,883,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,382 : 1,818,431 = 1,818,431 : x
  2. Step 2: Convert to fraction form
    851,382/1,818,431 = 1,818,431/x
  3. Step 3: Cross multiply
    851,382x = 1,818,431 × 1,818,431
  4. Step 4: Simplify right side
    851,382x = 3,306,691,301,761
  5. Step 5: Solve for x
    x = 3,306,691,301,761/851,382
  6. Step 6: Final answer
    x = 3,883,910.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.