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Finding the Third Proportional to 135,693.05 and 289,420.83

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Solution

The third proportional to 135,693.05 and 289,420.83 is: 617,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,693.05 : 289,420.83 = 289,420.83 : x
  2. Step 2: Convert to fraction form
    135,693.05/289,420.83 = 289,420.83/x
  3. Step 3: Cross multiply
    135,693.05x = 289,420.83 × 289,420.83
  4. Step 4: Simplify right side
    135,693.05x = 83,764,417,448.38
  5. Step 5: Solve for x
    x = 83,764,417,448.38/135,693.05
  6. Step 6: Final answer
    x = 617,308.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.