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Finding the Third Proportional to 484,542 and 678,989.25

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Solution

The third proportional to 484,542 and 678,989.25 is: 951,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,542 : 678,989.25 = 678,989.25 : x
  2. Step 2: Convert to fraction form
    484,542/678,989.25 = 678,989.25/x
  3. Step 3: Cross multiply
    484,542x = 678,989.25 × 678,989.25
  4. Step 4: Simplify right side
    484,542x = 461,026,401,615.56
  5. Step 5: Solve for x
    x = 461,026,401,615.56/484,542
  6. Step 6: Final answer
    x = 951,468.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.