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Finding the Third Proportional to 297,969.75 and 646,734.66

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Solution

The third proportional to 297,969.75 and 646,734.66 is: 1,403,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,969.75 : 646,734.66 = 646,734.66 : x
  2. Step 2: Convert to fraction form
    297,969.75/646,734.66 = 646,734.66/x
  3. Step 3: Cross multiply
    297,969.75x = 646,734.66 × 646,734.66
  4. Step 4: Simplify right side
    297,969.75x = 418,265,715,594.81
  5. Step 5: Solve for x
    x = 418,265,715,594.81/297,969.75
  6. Step 6: Final answer
    x = 1,403,718.72

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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.