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Finding the Third Proportional to 809,340 and 1,216,100

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Solution

The third proportional to 809,340 and 1,216,100 is: 1,827,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,340 : 1,216,100 = 1,216,100 : x
  2. Step 2: Convert to fraction form
    809,340/1,216,100 = 1,216,100/x
  3. Step 3: Cross multiply
    809,340x = 1,216,100 × 1,216,100
  4. Step 4: Simplify right side
    809,340x = 1,478,899,210,000
  5. Step 5: Solve for x
    x = 1,478,899,210,000/809,340
  6. Step 6: Final answer
    x = 1,827,290.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.