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Finding the Third Proportional to 428,781 and 846,720

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Solution

The third proportional to 428,781 and 846,720 is: 1,672,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,781 : 846,720 = 846,720 : x
  2. Step 2: Convert to fraction form
    428,781/846,720 = 846,720/x
  3. Step 3: Cross multiply
    428,781x = 846,720 × 846,720
  4. Step 4: Simplify right side
    428,781x = 716,934,758,400
  5. Step 5: Solve for x
    x = 716,934,758,400/428,781
  6. Step 6: Final answer
    x = 1,672,030.15

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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.