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Finding the Third Proportional to 996,384 and 1,398,124.50

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Solution

The third proportional to 996,384 and 1,398,124.50 is: 1,961,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,384 : 1,398,124.50 = 1,398,124.50 : x
  2. Step 2: Convert to fraction form
    996,384/1,398,124.50 = 1,398,124.50/x
  3. Step 3: Cross multiply
    996,384x = 1,398,124.50 × 1,398,124.50
  4. Step 4: Simplify right side
    996,384x = 1,954,752,117,500.25
  5. Step 5: Solve for x
    x = 1,954,752,117,500.25/996,384
  6. Step 6: Final answer
    x = 1,961,846.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.