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Finding the Third Proportional to 200,565 and 310,972.50

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Solution

The third proportional to 200,565 and 310,972.50 is: 482,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,565 : 310,972.50 = 310,972.50 : x
  2. Step 2: Convert to fraction form
    200,565/310,972.50 = 310,972.50/x
  3. Step 3: Cross multiply
    200,565x = 310,972.50 × 310,972.50
  4. Step 4: Simplify right side
    200,565x = 96,703,895,756.25
  5. Step 5: Solve for x
    x = 96,703,895,756.25/200,565
  6. Step 6: Final answer
    x = 482,157.38

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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.