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Finding the Third Proportional to 258,082.88 and 553,543.88

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Solution

The third proportional to 258,082.88 and 553,543.88 is: 1,187,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,082.88 : 553,543.88 = 553,543.88 : x
  2. Step 2: Convert to fraction form
    258,082.88/553,543.88 = 553,543.88/x
  3. Step 3: Cross multiply
    258,082.88x = 553,543.88 × 553,543.88
  4. Step 4: Simplify right side
    258,082.88x = 306,410,821,550.02
  5. Step 5: Solve for x
    x = 306,410,821,550.02/258,082.88
  6. Step 6: Final answer
    x = 1,187,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.