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Finding the Third Proportional to 257,370 and 371,288

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Solution

The third proportional to 257,370 and 371,288 is: 535,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,370 : 371,288 = 371,288 : x
  2. Step 2: Convert to fraction form
    257,370/371,288 = 371,288/x
  3. Step 3: Cross multiply
    257,370x = 371,288 × 371,288
  4. Step 4: Simplify right side
    257,370x = 137,854,778,944
  5. Step 5: Solve for x
    x = 137,854,778,944/257,370
  6. Step 6: Final answer
    x = 535,628.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.