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Finding the Third Proportional to 348,532 and 521,408

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Solution

The third proportional to 348,532 and 521,408 is: 780,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,532 : 521,408 = 521,408 : x
  2. Step 2: Convert to fraction form
    348,532/521,408 = 521,408/x
  3. Step 3: Cross multiply
    348,532x = 521,408 × 521,408
  4. Step 4: Simplify right side
    348,532x = 271,866,302,464
  5. Step 5: Solve for x
    x = 271,866,302,464/348,532
  6. Step 6: Final answer
    x = 780,032.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.