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Finding the Third Proportional to 658,821 and 1,438,491

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Solution

The third proportional to 658,821 and 1,438,491 is: 3,140,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,821 : 1,438,491 = 1,438,491 : x
  2. Step 2: Convert to fraction form
    658,821/1,438,491 = 1,438,491/x
  3. Step 3: Cross multiply
    658,821x = 1,438,491 × 1,438,491
  4. Step 4: Simplify right side
    658,821x = 2,069,256,357,081
  5. Step 5: Solve for x
    x = 2,069,256,357,081/658,821
  6. Step 6: Final answer
    x = 3,140,847.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.