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Finding the Third Proportional to 353,842 and 520,323

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Solution

The third proportional to 353,842 and 520,323 is: 765,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,842 : 520,323 = 520,323 : x
  2. Step 2: Convert to fraction form
    353,842/520,323 = 520,323/x
  3. Step 3: Cross multiply
    353,842x = 520,323 × 520,323
  4. Step 4: Simplify right side
    353,842x = 270,736,024,329
  5. Step 5: Solve for x
    x = 270,736,024,329/353,842
  6. Step 6: Final answer
    x = 765,132.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.