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Finding the Third Proportional to 242,574.75 and 378,624.38

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Solution

The third proportional to 242,574.75 and 378,624.38 is: 590,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,574.75 : 378,624.38 = 378,624.38 : x
  2. Step 2: Convert to fraction form
    242,574.75/378,624.38 = 378,624.38/x
  3. Step 3: Cross multiply
    242,574.75x = 378,624.38 × 378,624.38
  4. Step 4: Simplify right side
    242,574.75x = 143,356,417,344.14
  5. Step 5: Solve for x
    x = 143,356,417,344.14/242,574.75
  6. Step 6: Final answer
    x = 590,978.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.