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Finding the Third Proportional to 260,433 and 391,343

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Solution

The third proportional to 260,433 and 391,343 is: 588,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,433 : 391,343 = 391,343 : x
  2. Step 2: Convert to fraction form
    260,433/391,343 = 391,343/x
  3. Step 3: Cross multiply
    260,433x = 391,343 × 391,343
  4. Step 4: Simplify right side
    260,433x = 153,149,343,649
  5. Step 5: Solve for x
    x = 153,149,343,649/260,433
  6. Step 6: Final answer
    x = 588,056.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.