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Finding the Third Proportional to 253,054.13 and 543,742.88

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Solution

The third proportional to 253,054.13 and 543,742.88 is: 1,168,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,054.13 : 543,742.88 = 543,742.88 : x
  2. Step 2: Convert to fraction form
    253,054.13/543,742.88 = 543,742.88/x
  3. Step 3: Cross multiply
    253,054.13x = 543,742.88 × 543,742.88
  4. Step 4: Simplify right side
    253,054.13x = 295,656,314,113.27
  5. Step 5: Solve for x
    x = 295,656,314,113.27/253,054.13
  6. Step 6: Final answer
    x = 1,168,352.08

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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.