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Finding the Third Proportional to 457,242 and 712,029

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Solution

The third proportional to 457,242 and 712,029 is: 1,108,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242 : 712,029 = 712,029 : x
  2. Step 2: Convert to fraction form
    457,242/712,029 = 712,029/x
  3. Step 3: Cross multiply
    457,242x = 712,029 × 712,029
  4. Step 4: Simplify right side
    457,242x = 506,985,296,841
  5. Step 5: Solve for x
    x = 506,985,296,841/457,242
  6. Step 6: Final answer
    x = 1,108,789.87

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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.