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Finding the Third Proportional to 605,829 and 1,311,948

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Solution

The third proportional to 605,829 and 1,311,948 is: 2,841,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,829 : 1,311,948 = 1,311,948 : x
  2. Step 2: Convert to fraction form
    605,829/1,311,948 = 1,311,948/x
  3. Step 3: Cross multiply
    605,829x = 1,311,948 × 1,311,948
  4. Step 4: Simplify right side
    605,829x = 1,721,207,554,704
  5. Step 5: Solve for x
    x = 1,721,207,554,704/605,829
  6. Step 6: Final answer
    x = 2,841,078.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.