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Finding the Third Proportional to 397,280.50 and 868,831.50

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Solution

The third proportional to 397,280.50 and 868,831.50 is: 1,900,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,280.50 : 868,831.50 = 868,831.50 : x
  2. Step 2: Convert to fraction form
    397,280.50/868,831.50 = 868,831.50/x
  3. Step 3: Cross multiply
    397,280.50x = 868,831.50 × 868,831.50
  4. Step 4: Simplify right side
    397,280.50x = 754,868,175,392.25
  5. Step 5: Solve for x
    x = 754,868,175,392.25/397,280.50
  6. Step 6: Final answer
    x = 1,900,088.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.