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Finding the Third Proportional to 297,948 and 680,712

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Solution

The third proportional to 297,948 and 680,712 is: 1,555,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,948 : 680,712 = 680,712 : x
  2. Step 2: Convert to fraction form
    297,948/680,712 = 680,712/x
  3. Step 3: Cross multiply
    297,948x = 680,712 × 680,712
  4. Step 4: Simplify right side
    297,948x = 463,368,826,944
  5. Step 5: Solve for x
    x = 463,368,826,944/297,948
  6. Step 6: Final answer
    x = 1,555,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.