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Finding the Third Proportional to 370,938 and 558,147

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Solution

The third proportional to 370,938 and 558,147 is: 839,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,938 : 558,147 = 558,147 : x
  2. Step 2: Convert to fraction form
    370,938/558,147 = 558,147/x
  3. Step 3: Cross multiply
    370,938x = 558,147 × 558,147
  4. Step 4: Simplify right side
    370,938x = 311,528,073,609
  5. Step 5: Solve for x
    x = 311,528,073,609/370,938
  6. Step 6: Final answer
    x = 839,838.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.