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Finding the Third Proportional to 242,290 and 565,945

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Solution

The third proportional to 242,290 and 565,945 is: 1,321,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,290 : 565,945 = 565,945 : x
  2. Step 2: Convert to fraction form
    242,290/565,945 = 565,945/x
  3. Step 3: Cross multiply
    242,290x = 565,945 × 565,945
  4. Step 4: Simplify right side
    242,290x = 320,293,743,025
  5. Step 5: Solve for x
    x = 320,293,743,025/242,290
  6. Step 6: Final answer
    x = 1,321,943.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.