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Finding the Third Proportional to 389,900.50 and 571,332.50

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Solution

The third proportional to 389,900.50 and 571,332.50 is: 837,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,900.50 : 571,332.50 = 571,332.50 : x
  2. Step 2: Convert to fraction form
    389,900.50/571,332.50 = 571,332.50/x
  3. Step 3: Cross multiply
    389,900.50x = 571,332.50 × 571,332.50
  4. Step 4: Simplify right side
    389,900.50x = 326,420,825,556.25
  5. Step 5: Solve for x
    x = 326,420,825,556.25/389,900.50
  6. Step 6: Final answer
    x = 837,190.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.