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Finding the Third Proportional to 348,370 and 521,201

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Solution

The third proportional to 348,370 and 521,201 is: 779,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,370 : 521,201 = 521,201 : x
  2. Step 2: Convert to fraction form
    348,370/521,201 = 521,201/x
  3. Step 3: Cross multiply
    348,370x = 521,201 × 521,201
  4. Step 4: Simplify right side
    348,370x = 271,650,482,401
  5. Step 5: Solve for x
    x = 271,650,482,401/348,370
  6. Step 6: Final answer
    x = 779,775.76

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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.