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Finding the Third Proportional to 428,946.75 and 847,129.50

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Solution

The third proportional to 428,946.75 and 847,129.50 is: 1,673,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,946.75 : 847,129.50 = 847,129.50 : x
  2. Step 2: Convert to fraction form
    428,946.75/847,129.50 = 847,129.50/x
  3. Step 3: Cross multiply
    428,946.75x = 847,129.50 × 847,129.50
  4. Step 4: Simplify right side
    428,946.75x = 717,628,389,770.25
  5. Step 5: Solve for x
    x = 717,628,389,770.25/428,946.75
  6. Step 6: Final answer
    x = 1,673,001.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.