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Finding the Third Proportional to 257,854.50 and 553,797

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Solution

The third proportional to 257,854.50 and 553,797 is: 1,189,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.50 : 553,797 = 553,797 : x
  2. Step 2: Convert to fraction form
    257,854.50/553,797 = 553,797/x
  3. Step 3: Cross multiply
    257,854.50x = 553,797 × 553,797
  4. Step 4: Simplify right side
    257,854.50x = 306,691,117,209
  5. Step 5: Solve for x
    x = 306,691,117,209/257,854.50
  6. Step 6: Final answer
    x = 1,189,396.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.