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Finding the Third Proportional to 580,230 and 900,315

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Solution

The third proportional to 580,230 and 900,315 is: 1,396,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,230 : 900,315 = 900,315 : x
  2. Step 2: Convert to fraction form
    580,230/900,315 = 900,315/x
  3. Step 3: Cross multiply
    580,230x = 900,315 × 900,315
  4. Step 4: Simplify right side
    580,230x = 810,567,099,225
  5. Step 5: Solve for x
    x = 810,567,099,225/580,230
  6. Step 6: Final answer
    x = 1,396,975.51

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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.