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Finding the Third Proportional to 253,445 and 379,416

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Solution

The third proportional to 253,445 and 379,416 is: 567,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,445 : 379,416 = 379,416 : x
  2. Step 2: Convert to fraction form
    253,445/379,416 = 379,416/x
  3. Step 3: Cross multiply
    253,445x = 379,416 × 379,416
  4. Step 4: Simplify right side
    253,445x = 143,956,501,056
  5. Step 5: Solve for x
    x = 143,956,501,056/253,445
  6. Step 6: Final answer
    x = 567,998.98

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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.