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Finding the Third Proportional to 139,974 and 210,681

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Solution

The third proportional to 139,974 and 210,681 is: 317,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,974 : 210,681 = 210,681 : x
  2. Step 2: Convert to fraction form
    139,974/210,681 = 210,681/x
  3. Step 3: Cross multiply
    139,974x = 210,681 × 210,681
  4. Step 4: Simplify right side
    139,974x = 44,386,483,761
  5. Step 5: Solve for x
    x = 44,386,483,761/139,974
  6. Step 6: Final answer
    x = 317,105.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.