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Finding the Third Proportional to 348,569 and 521,465.50

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Solution

The third proportional to 348,569 and 521,465.50 is: 780,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,569 : 521,465.50 = 521,465.50 : x
  2. Step 2: Convert to fraction form
    348,569/521,465.50 = 521,465.50/x
  3. Step 3: Cross multiply
    348,569x = 521,465.50 × 521,465.50
  4. Step 4: Simplify right side
    348,569x = 271,926,267,690.25
  5. Step 5: Solve for x
    x = 271,926,267,690.25/348,569
  6. Step 6: Final answer
    x = 780,121.78

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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.