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Finding the Third Proportional to 401,562.75 and 621,783.75

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Solution

The third proportional to 401,562.75 and 621,783.75 is: 962,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,562.75 : 621,783.75 = 621,783.75 : x
  2. Step 2: Convert to fraction form
    401,562.75/621,783.75 = 621,783.75/x
  3. Step 3: Cross multiply
    401,562.75x = 621,783.75 × 621,783.75
  4. Step 4: Simplify right side
    401,562.75x = 386,615,031,764.06
  5. Step 5: Solve for x
    x = 386,615,031,764.06/401,562.75
  6. Step 6: Final answer
    x = 962,776.13

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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.