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Finding the Third Proportional to 342,025 and 749,720

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Solution

The third proportional to 342,025 and 749,720 is: 1,643,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,025 : 749,720 = 749,720 : x
  2. Step 2: Convert to fraction form
    342,025/749,720 = 749,720/x
  3. Step 3: Cross multiply
    342,025x = 749,720 × 749,720
  4. Step 4: Simplify right side
    342,025x = 562,080,078,400
  5. Step 5: Solve for x
    x = 562,080,078,400/342,025
  6. Step 6: Final answer
    x = 1,643,388.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.