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Finding the Third Proportional to 401,730 and 622,563

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Solution

The third proportional to 401,730 and 622,563 is: 964,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,730 : 622,563 = 622,563 : x
  2. Step 2: Convert to fraction form
    401,730/622,563 = 622,563/x
  3. Step 3: Cross multiply
    401,730x = 622,563 × 622,563
  4. Step 4: Simplify right side
    401,730x = 387,584,688,969
  5. Step 5: Solve for x
    x = 387,584,688,969/401,730
  6. Step 6: Final answer
    x = 964,789.01

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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.