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Finding the Third Proportional to 282,401 and 621,664

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Solution

The third proportional to 282,401 and 621,664 is: 1,368,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,401 : 621,664 = 621,664 : x
  2. Step 2: Convert to fraction form
    282,401/621,664 = 621,664/x
  3. Step 3: Cross multiply
    282,401x = 621,664 × 621,664
  4. Step 4: Simplify right side
    282,401x = 386,466,128,896
  5. Step 5: Solve for x
    x = 386,466,128,896/282,401
  6. Step 6: Final answer
    x = 1,368,501.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.