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Finding the Third Proportional to 401,398 and 621,863

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Solution

The third proportional to 401,398 and 621,863 is: 963,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,398 : 621,863 = 621,863 : x
  2. Step 2: Convert to fraction form
    401,398/621,863 = 621,863/x
  3. Step 3: Cross multiply
    401,398x = 621,863 × 621,863
  4. Step 4: Simplify right side
    401,398x = 386,713,590,769
  5. Step 5: Solve for x
    x = 386,713,590,769/401,398
  6. Step 6: Final answer
    x = 963,416.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.