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Finding the Third Proportional to 139,411.13 and 210,422.81

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Solution

The third proportional to 139,411.13 and 210,422.81 is: 317,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,411.13 : 210,422.81 = 210,422.81 : x
  2. Step 2: Convert to fraction form
    139,411.13/210,422.81 = 210,422.81/x
  3. Step 3: Cross multiply
    139,411.13x = 210,422.81 × 210,422.81
  4. Step 4: Simplify right side
    139,411.13x = 44,277,760,020.41
  5. Step 5: Solve for x
    x = 44,277,760,020.41/139,411.13
  6. Step 6: Final answer
    x = 317,605.64

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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.