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Finding the Third Proportional to 279,720 and 430,200

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Solution

The third proportional to 279,720 and 430,200 is: 661,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,720 : 430,200 = 430,200 : x
  2. Step 2: Convert to fraction form
    279,720/430,200 = 430,200/x
  3. Step 3: Cross multiply
    279,720x = 430,200 × 430,200
  4. Step 4: Simplify right side
    279,720x = 185,072,040,000
  5. Step 5: Solve for x
    x = 185,072,040,000/279,720
  6. Step 6: Final answer
    x = 661,633.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.