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Finding the Third Proportional to 231,715 and 507,718

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Solution

The third proportional to 231,715 and 507,718 is: 1,112,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,715 : 507,718 = 507,718 : x
  2. Step 2: Convert to fraction form
    231,715/507,718 = 507,718/x
  3. Step 3: Cross multiply
    231,715x = 507,718 × 507,718
  4. Step 4: Simplify right side
    231,715x = 257,777,567,524
  5. Step 5: Solve for x
    x = 257,777,567,524/231,715
  6. Step 6: Final answer
    x = 1,112,476.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.