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Finding the Third Proportional to 525,449 and 815,281

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Solution

The third proportional to 525,449 and 815,281 is: 1,264,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,449 : 815,281 = 815,281 : x
  2. Step 2: Convert to fraction form
    525,449/815,281 = 815,281/x
  3. Step 3: Cross multiply
    525,449x = 815,281 × 815,281
  4. Step 4: Simplify right side
    525,449x = 664,683,108,961
  5. Step 5: Solve for x
    x = 664,683,108,961/525,449
  6. Step 6: Final answer
    x = 1,264,981.20

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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.