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Finding the Third Proportional to 342,402.19 and 743,648.34

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Solution

The third proportional to 342,402.19 and 743,648.34 is: 1,615,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,402.19 : 743,648.34 = 743,648.34 : x
  2. Step 2: Convert to fraction form
    342,402.19/743,648.34 = 743,648.34/x
  3. Step 3: Cross multiply
    342,402.19x = 743,648.34 × 743,648.34
  4. Step 4: Simplify right side
    342,402.19x = 553,012,859,162.12
  5. Step 5: Solve for x
    x = 553,012,859,162.12/342,402.19
  6. Step 6: Final answer
    x = 1,615,097.33

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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.