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Finding the Third Proportional to 323,820 and 428,319

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Solution

The third proportional to 323,820 and 428,319 is: 566,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,820 : 428,319 = 428,319 : x
  2. Step 2: Convert to fraction form
    323,820/428,319 = 428,319/x
  3. Step 3: Cross multiply
    323,820x = 428,319 × 428,319
  4. Step 4: Simplify right side
    323,820x = 183,457,165,761
  5. Step 5: Solve for x
    x = 183,457,165,761/323,820
  6. Step 6: Final answer
    x = 566,540.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.