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Finding the Third Proportional to 31,210.13 and 68,259.19

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Solution

The third proportional to 31,210.13 and 68,259.19 is: 149,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.13 : 68,259.19 = 68,259.19 : x
  2. Step 2: Convert to fraction form
    31,210.13/68,259.19 = 68,259.19/x
  3. Step 3: Cross multiply
    31,210.13x = 68,259.19 × 68,259.19
  4. Step 4: Simplify right side
    31,210.13x = 4,659,316,678.16
  5. Step 5: Solve for x
    x = 4,659,316,678.16/31,210.13
  6. Step 6: Final answer
    x = 149,288.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.