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Finding the Third Proportional to 443,970 and 721,319

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Solution

The third proportional to 443,970 and 721,319 is: 1,171,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,970 : 721,319 = 721,319 : x
  2. Step 2: Convert to fraction form
    443,970/721,319 = 721,319/x
  3. Step 3: Cross multiply
    443,970x = 721,319 × 721,319
  4. Step 4: Simplify right side
    443,970x = 520,301,099,761
  5. Step 5: Solve for x
    x = 520,301,099,761/443,970
  6. Step 6: Final answer
    x = 1,171,928.51

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.