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Finding the Third Proportional to 390,650.50 and 587,015.50

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Solution

The third proportional to 390,650.50 and 587,015.50 is: 882,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,650.50 : 587,015.50 = 587,015.50 : x
  2. Step 2: Convert to fraction form
    390,650.50/587,015.50 = 587,015.50/x
  3. Step 3: Cross multiply
    390,650.50x = 587,015.50 × 587,015.50
  4. Step 4: Simplify right side
    390,650.50x = 344,587,197,240.25
  5. Step 5: Solve for x
    x = 344,587,197,240.25/390,650.50
  6. Step 6: Final answer
    x = 882,085.64

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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.