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Finding the Third Proportional to 257,368 and 371,285

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Solution

The third proportional to 257,368 and 371,285 is: 535,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,368 : 371,285 = 371,285 : x
  2. Step 2: Convert to fraction form
    257,368/371,285 = 371,285/x
  3. Step 3: Cross multiply
    257,368x = 371,285 × 371,285
  4. Step 4: Simplify right side
    257,368x = 137,852,551,225
  5. Step 5: Solve for x
    x = 137,852,551,225/257,368
  6. Step 6: Final answer
    x = 535,624.29

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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.