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Finding the Third Proportional to 310,143.94 and 362,358.56

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Solution

The third proportional to 310,143.94 and 362,358.56 is: 423,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,143.94 : 362,358.56 = 362,358.56 : x
  2. Step 2: Convert to fraction form
    310,143.94/362,358.56 = 362,358.56/x
  3. Step 3: Cross multiply
    310,143.94x = 362,358.56 × 362,358.56
  4. Step 4: Simplify right side
    310,143.94x = 131,303,727,817.07
  5. Step 5: Solve for x
    x = 131,303,727,817.07/310,143.94
  6. Step 6: Final answer
    x = 423,363.84

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.