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Finding the Third Proportional to 814,849 and 1,289,989

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Solution

The third proportional to 814,849 and 1,289,989 is: 2,042,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,849 : 1,289,989 = 1,289,989 : x
  2. Step 2: Convert to fraction form
    814,849/1,289,989 = 1,289,989/x
  3. Step 3: Cross multiply
    814,849x = 1,289,989 × 1,289,989
  4. Step 4: Simplify right side
    814,849x = 1,664,071,620,121
  5. Step 5: Solve for x
    x = 1,664,071,620,121/814,849
  6. Step 6: Final answer
    x = 2,042,184.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.