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Finding the Third Proportional to 200,719 and 310,073

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Solution

The third proportional to 200,719 and 310,073 is: 479,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719 : 310,073 = 310,073 : x
  2. Step 2: Convert to fraction form
    200,719/310,073 = 310,073/x
  3. Step 3: Cross multiply
    200,719x = 310,073 × 310,073
  4. Step 4: Simplify right side
    200,719x = 96,145,265,329
  5. Step 5: Solve for x
    x = 96,145,265,329/200,719
  6. Step 6: Final answer
    x = 479,004.31

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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.