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Finding the Third Proportional to 360,606 and 558,340

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Solution

The third proportional to 360,606 and 558,340 is: 864,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,606 : 558,340 = 558,340 : x
  2. Step 2: Convert to fraction form
    360,606/558,340 = 558,340/x
  3. Step 3: Cross multiply
    360,606x = 558,340 × 558,340
  4. Step 4: Simplify right side
    360,606x = 311,743,555,600
  5. Step 5: Solve for x
    x = 311,743,555,600/360,606
  6. Step 6: Final answer
    x = 864,499.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.