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Finding the Third Proportional to 390,642.75 and 587,005.31

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Solution

The third proportional to 390,642.75 and 587,005.31 is: 882,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,642.75 : 587,005.31 = 587,005.31 : x
  2. Step 2: Convert to fraction form
    390,642.75/587,005.31 = 587,005.31/x
  3. Step 3: Cross multiply
    390,642.75x = 587,005.31 × 587,005.31
  4. Step 4: Simplify right side
    390,642.75x = 344,575,236,903.22
  5. Step 5: Solve for x
    x = 344,575,236,903.22/390,642.75
  6. Step 6: Final answer
    x = 882,072.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.