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Finding the Third Proportional to 282,399 and 620,771

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Solution

The third proportional to 282,399 and 620,771 is: 1,364,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,399 : 620,771 = 620,771 : x
  2. Step 2: Convert to fraction form
    282,399/620,771 = 620,771/x
  3. Step 3: Cross multiply
    282,399x = 620,771 × 620,771
  4. Step 4: Simplify right side
    282,399x = 385,356,634,441
  5. Step 5: Solve for x
    x = 385,356,634,441/282,399
  6. Step 6: Final answer
    x = 1,364,582.15

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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.