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Finding the Third Proportional to 100,007.16 and 218,694.94

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Solution

The third proportional to 100,007.16 and 218,694.94 is: 478,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007.16 : 218,694.94 = 218,694.94 : x
  2. Step 2: Convert to fraction form
    100,007.16/218,694.94 = 218,694.94/x
  3. Step 3: Cross multiply
    100,007.16x = 218,694.94 × 218,694.94
  4. Step 4: Simplify right side
    100,007.16x = 47,827,475,688.13
  5. Step 5: Solve for x
    x = 47,827,475,688.13/100,007.16
  6. Step 6: Final answer
    x = 478,240.53

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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.