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Finding the Third Proportional to 435,353 and 659,600

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Solution

The third proportional to 435,353 and 659,600 is: 999,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,353 : 659,600 = 659,600 : x
  2. Step 2: Convert to fraction form
    435,353/659,600 = 659,600/x
  3. Step 3: Cross multiply
    435,353x = 659,600 × 659,600
  4. Step 4: Simplify right side
    435,353x = 435,072,160,000
  5. Step 5: Solve for x
    x = 435,072,160,000/435,353
  6. Step 6: Final answer
    x = 999,354.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.