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Finding the Third Proportional to 401,270.63 and 587,140.31

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Solution

The third proportional to 401,270.63 and 587,140.31 is: 859,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,270.63 : 587,140.31 = 587,140.31 : x
  2. Step 2: Convert to fraction form
    401,270.63/587,140.31 = 587,140.31/x
  3. Step 3: Cross multiply
    401,270.63x = 587,140.31 × 587,140.31
  4. Step 4: Simplify right side
    401,270.63x = 344,733,746,562.60
  5. Step 5: Solve for x
    x = 344,733,746,562.60/401,270.63
  6. Step 6: Final answer
    x = 859,105.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.