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Finding the Third Proportional to 681,460 and 1,486,699

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Solution

The third proportional to 681,460 and 1,486,699 is: 3,243,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,460 : 1,486,699 = 1,486,699 : x
  2. Step 2: Convert to fraction form
    681,460/1,486,699 = 1,486,699/x
  3. Step 3: Cross multiply
    681,460x = 1,486,699 × 1,486,699
  4. Step 4: Simplify right side
    681,460x = 2,210,273,916,601
  5. Step 5: Solve for x
    x = 2,210,273,916,601/681,460
  6. Step 6: Final answer
    x = 3,243,438.96

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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.