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Finding the Third Proportional to 428,949 and 847,133

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Solution

The third proportional to 428,949 and 847,133 is: 1,673,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,949 : 847,133 = 847,133 : x
  2. Step 2: Convert to fraction form
    428,949/847,133 = 847,133/x
  3. Step 3: Cross multiply
    428,949x = 847,133 × 847,133
  4. Step 4: Simplify right side
    428,949x = 717,634,319,689
  5. Step 5: Solve for x
    x = 717,634,319,689/428,949
  6. Step 6: Final answer
    x = 1,673,006.16

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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.