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Finding the Third Proportional to 339,025 and 525,281

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Solution

The third proportional to 339,025 and 525,281 is: 813,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,025 : 525,281 = 525,281 : x
  2. Step 2: Convert to fraction form
    339,025/525,281 = 525,281/x
  3. Step 3: Cross multiply
    339,025x = 525,281 × 525,281
  4. Step 4: Simplify right side
    339,025x = 275,920,128,961
  5. Step 5: Solve for x
    x = 275,920,128,961/339,025
  6. Step 6: Final answer
    x = 813,863.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.