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Finding the Third Proportional to 402,880.50 and 628,840.50

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Solution

The third proportional to 402,880.50 and 628,840.50 is: 981,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,880.50 : 628,840.50 = 628,840.50 : x
  2. Step 2: Convert to fraction form
    402,880.50/628,840.50 = 628,840.50/x
  3. Step 3: Cross multiply
    402,880.50x = 628,840.50 × 628,840.50
  4. Step 4: Simplify right side
    402,880.50x = 395,440,374,440.25
  5. Step 5: Solve for x
    x = 395,440,374,440.25/402,880.50
  6. Step 6: Final answer
    x = 981,532.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.