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Finding the Third Proportional to 861,312 and 1,322,101

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Solution

The third proportional to 861,312 and 1,322,101 is: 2,029,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,312 : 1,322,101 = 1,322,101 : x
  2. Step 2: Convert to fraction form
    861,312/1,322,101 = 1,322,101/x
  3. Step 3: Cross multiply
    861,312x = 1,322,101 × 1,322,101
  4. Step 4: Simplify right side
    861,312x = 1,747,951,054,201
  5. Step 5: Solve for x
    x = 1,747,951,054,201/861,312
  6. Step 6: Final answer
    x = 2,029,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.