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Finding the Third Proportional to 476,240 and 648,549

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Solution

The third proportional to 476,240 and 648,549 is: 883,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,240 : 648,549 = 648,549 : x
  2. Step 2: Convert to fraction form
    476,240/648,549 = 648,549/x
  3. Step 3: Cross multiply
    476,240x = 648,549 × 648,549
  4. Step 4: Simplify right side
    476,240x = 420,615,805,401
  5. Step 5: Solve for x
    x = 420,615,805,401/476,240
  6. Step 6: Final answer
    x = 883,201.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.