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Finding the Third Proportional to 202,072 and 313,746

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Solution

The third proportional to 202,072 and 313,746 is: 487,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,072 : 313,746 = 313,746 : x
  2. Step 2: Convert to fraction form
    202,072/313,746 = 313,746/x
  3. Step 3: Cross multiply
    202,072x = 313,746 × 313,746
  4. Step 4: Simplify right side
    202,072x = 98,436,552,516
  5. Step 5: Solve for x
    x = 98,436,552,516/202,072
  6. Step 6: Final answer
    x = 487,136.03

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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.