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Finding the Third Proportional to 525,280 and 787,728

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Solution

The third proportional to 525,280 and 787,728 is: 1,181,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,280 : 787,728 = 787,728 : x
  2. Step 2: Convert to fraction form
    525,280/787,728 = 787,728/x
  3. Step 3: Cross multiply
    525,280x = 787,728 × 787,728
  4. Step 4: Simplify right side
    525,280x = 620,515,401,984
  5. Step 5: Solve for x
    x = 620,515,401,984/525,280
  6. Step 6: Final answer
    x = 1,181,304.07

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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.