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Finding the Third Proportional to 253,980 and 557,784

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Solution

The third proportional to 253,980 and 557,784 is: 1,224,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,980 : 557,784 = 557,784 : x
  2. Step 2: Convert to fraction form
    253,980/557,784 = 557,784/x
  3. Step 3: Cross multiply
    253,980x = 557,784 × 557,784
  4. Step 4: Simplify right side
    253,980x = 311,122,990,656
  5. Step 5: Solve for x
    x = 311,122,990,656/253,980
  6. Step 6: Final answer
    x = 1,224,990.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.