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Finding the Third Proportional to 487,449 and 753,299

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Solution

The third proportional to 487,449 and 753,299 is: 1,164,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,449 : 753,299 = 753,299 : x
  2. Step 2: Convert to fraction form
    487,449/753,299 = 753,299/x
  3. Step 3: Cross multiply
    487,449x = 753,299 × 753,299
  4. Step 4: Simplify right side
    487,449x = 567,459,383,401
  5. Step 5: Solve for x
    x = 567,459,383,401/487,449
  6. Step 6: Final answer
    x = 1,164,141.04

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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.