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Finding the Third Proportional to 257,715 and 533,108.25

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Solution

The third proportional to 257,715 and 533,108.25 is: 1,102,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,715 : 533,108.25 = 533,108.25 : x
  2. Step 2: Convert to fraction form
    257,715/533,108.25 = 533,108.25/x
  3. Step 3: Cross multiply
    257,715x = 533,108.25 × 533,108.25
  4. Step 4: Simplify right side
    257,715x = 284,204,406,218.06
  5. Step 5: Solve for x
    x = 284,204,406,218.06/257,715
  6. Step 6: Final answer
    x = 1,102,785.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.