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Finding the Third Proportional to 243,055.69 and 529,989.75

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Solution

The third proportional to 243,055.69 and 529,989.75 is: 1,155,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,055.69 : 529,989.75 = 529,989.75 : x
  2. Step 2: Convert to fraction form
    243,055.69/529,989.75 = 529,989.75/x
  3. Step 3: Cross multiply
    243,055.69x = 529,989.75 × 529,989.75
  4. Step 4: Simplify right side
    243,055.69x = 280,889,135,105.06
  5. Step 5: Solve for x
    x = 280,889,135,105.06/243,055.69
  6. Step 6: Final answer
    x = 1,155,657.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.