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Finding the Third Proportional to 284,094 and 621,644

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Solution

The third proportional to 284,094 and 621,644 is: 1,360,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,094 : 621,644 = 621,644 : x
  2. Step 2: Convert to fraction form
    284,094/621,644 = 621,644/x
  3. Step 3: Cross multiply
    284,094x = 621,644 × 621,644
  4. Step 4: Simplify right side
    284,094x = 386,441,262,736
  5. Step 5: Solve for x
    x = 386,441,262,736/284,094
  6. Step 6: Final answer
    x = 1,360,258.45

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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.