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Finding the Third Proportional to 280,831.50 and 452,403

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Solution

The third proportional to 280,831.50 and 452,403 is: 728,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,831.50 : 452,403 = 452,403 : x
  2. Step 2: Convert to fraction form
    280,831.50/452,403 = 452,403/x
  3. Step 3: Cross multiply
    280,831.50x = 452,403 × 452,403
  4. Step 4: Simplify right side
    280,831.50x = 204,668,474,409
  5. Step 5: Solve for x
    x = 204,668,474,409/280,831.50
  6. Step 6: Final answer
    x = 728,794.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.