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Finding the Third Proportional to 243,688.50 and 543,407.48

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Solution

The third proportional to 243,688.50 and 543,407.48 is: 1,211,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,688.50 : 543,407.48 = 543,407.48 : x
  2. Step 2: Convert to fraction form
    243,688.50/543,407.48 = 543,407.48/x
  3. Step 3: Cross multiply
    243,688.50x = 543,407.48 × 543,407.48
  4. Step 4: Simplify right side
    243,688.50x = 295,291,694,074.77
  5. Step 5: Solve for x
    x = 295,291,694,074.77/243,688.50
  6. Step 6: Final answer
    x = 1,211,758.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.