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Finding the Third Proportional to 284,226 and 621,912

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Solution

The third proportional to 284,226 and 621,912 is: 1,360,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,226 : 621,912 = 621,912 : x
  2. Step 2: Convert to fraction form
    284,226/621,912 = 621,912/x
  3. Step 3: Cross multiply
    284,226x = 621,912 × 621,912
  4. Step 4: Simplify right side
    284,226x = 386,774,535,744
  5. Step 5: Solve for x
    x = 386,774,535,744/284,226
  6. Step 6: Final answer
    x = 1,360,799.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.