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Finding the Third Proportional to 435,894 and 656,353

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Solution

The third proportional to 435,894 and 656,353 is: 988,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,894 : 656,353 = 656,353 : x
  2. Step 2: Convert to fraction form
    435,894/656,353 = 656,353/x
  3. Step 3: Cross multiply
    435,894x = 656,353 × 656,353
  4. Step 4: Simplify right side
    435,894x = 430,799,260,609
  5. Step 5: Solve for x
    x = 430,799,260,609/435,894
  6. Step 6: Final answer
    x = 988,311.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.