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Finding the Third Proportional to 202,136 and 313,862

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Solution

The third proportional to 202,136 and 313,862 is: 487,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136 : 313,862 = 313,862 : x
  2. Step 2: Convert to fraction form
    202,136/313,862 = 313,862/x
  3. Step 3: Cross multiply
    202,136x = 313,862 × 313,862
  4. Step 4: Simplify right side
    202,136x = 98,509,355,044
  5. Step 5: Solve for x
    x = 98,509,355,044/202,136
  6. Step 6: Final answer
    x = 487,341.96

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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.