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Finding the Third Proportional to 783,649.50 and 1,600,506

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Solution

The third proportional to 783,649.50 and 1,600,506 is: 3,268,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,649.50 : 1,600,506 = 1,600,506 : x
  2. Step 2: Convert to fraction form
    783,649.50/1,600,506 = 1,600,506/x
  3. Step 3: Cross multiply
    783,649.50x = 1,600,506 × 1,600,506
  4. Step 4: Simplify right side
    783,649.50x = 2,561,619,456,036
  5. Step 5: Solve for x
    x = 2,561,619,456,036/783,649.50
  6. Step 6: Final answer
    x = 3,268,833.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.