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Finding the Third Proportional to 100,920.94 and 212,298.47

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Solution

The third proportional to 100,920.94 and 212,298.47 is: 446,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920.94 : 212,298.47 = 212,298.47 : x
  2. Step 2: Convert to fraction form
    100,920.94/212,298.47 = 212,298.47/x
  3. Step 3: Cross multiply
    100,920.94x = 212,298.47 × 212,298.47
  4. Step 4: Simplify right side
    100,920.94x = 45,070,639,833.59
  5. Step 5: Solve for x
    x = 45,070,639,833.59/100,920.94
  6. Step 6: Final answer
    x = 446,593.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.