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Finding the Third Proportional to 200,720 and 310,692

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Solution

The third proportional to 200,720 and 310,692 is: 480,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720 : 310,692 = 310,692 : x
  2. Step 2: Convert to fraction form
    200,720/310,692 = 310,692/x
  3. Step 3: Cross multiply
    200,720x = 310,692 × 310,692
  4. Step 4: Simplify right side
    200,720x = 96,529,518,864
  5. Step 5: Solve for x
    x = 96,529,518,864/200,720
  6. Step 6: Final answer
    x = 480,916.30

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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.