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Finding the Third Proportional to 202,136 and 313,863

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Solution

The third proportional to 202,136 and 313,863 is: 487,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136 : 313,863 = 313,863 : x
  2. Step 2: Convert to fraction form
    202,136/313,863 = 313,863/x
  3. Step 3: Cross multiply
    202,136x = 313,863 × 313,863
  4. Step 4: Simplify right side
    202,136x = 98,509,982,769
  5. Step 5: Solve for x
    x = 98,509,982,769/202,136
  6. Step 6: Final answer
    x = 487,345.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.