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Finding the Third Proportional to 339,970 and 720,319

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Solution

The third proportional to 339,970 and 720,319 is: 1,526,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,970 : 720,319 = 720,319 : x
  2. Step 2: Convert to fraction form
    339,970/720,319 = 720,319/x
  3. Step 3: Cross multiply
    339,970x = 720,319 × 720,319
  4. Step 4: Simplify right side
    339,970x = 518,859,461,761
  5. Step 5: Solve for x
    x = 518,859,461,761/339,970
  6. Step 6: Final answer
    x = 1,526,191.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.