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Finding the Third Proportional to 348,338 and 521,155

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Solution

The third proportional to 348,338 and 521,155 is: 779,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,338 : 521,155 = 521,155 : x
  2. Step 2: Convert to fraction form
    348,338/521,155 = 521,155/x
  3. Step 3: Cross multiply
    348,338x = 521,155 × 521,155
  4. Step 4: Simplify right side
    348,338x = 271,602,534,025
  5. Step 5: Solve for x
    x = 271,602,534,025/348,338
  6. Step 6: Final answer
    x = 779,709.75

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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.