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Finding the Third Proportional to 200,711 and 310,061

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Solution

The third proportional to 200,711 and 310,061 is: 478,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,711 : 310,061 = 310,061 : x
  2. Step 2: Convert to fraction form
    200,711/310,061 = 310,061/x
  3. Step 3: Cross multiply
    200,711x = 310,061 × 310,061
  4. Step 4: Simplify right side
    200,711x = 96,137,823,721
  5. Step 5: Solve for x
    x = 96,137,823,721/200,711
  6. Step 6: Final answer
    x = 478,986.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.