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Finding the Third Proportional to 428,930.44 and 847,095.47

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Solution

The third proportional to 428,930.44 and 847,095.47 is: 1,672,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,930.44 : 847,095.47 = 847,095.47 : x
  2. Step 2: Convert to fraction form
    428,930.44/847,095.47 = 847,095.47/x
  3. Step 3: Cross multiply
    428,930.44x = 847,095.47 × 847,095.47
  4. Step 4: Simplify right side
    428,930.44x = 717,570,733,176.78
  5. Step 5: Solve for x
    x = 717,570,733,176.78/428,930.44
  6. Step 6: Final answer
    x = 1,672,930.32

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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.