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Finding the Third Proportional to 521,576 and 780,420

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Solution

The third proportional to 521,576 and 780,420 is: 1,167,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,576 : 780,420 = 780,420 : x
  2. Step 2: Convert to fraction form
    521,576/780,420 = 780,420/x
  3. Step 3: Cross multiply
    521,576x = 780,420 × 780,420
  4. Step 4: Simplify right side
    521,576x = 609,055,376,400
  5. Step 5: Solve for x
    x = 609,055,376,400/521,576
  6. Step 6: Final answer
    x = 1,167,721.25

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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.