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Finding the Third Proportional to 238,475 and 505,381

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Solution

The third proportional to 238,475 and 505,381 is: 1,071,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,475 : 505,381 = 505,381 : x
  2. Step 2: Convert to fraction form
    238,475/505,381 = 505,381/x
  3. Step 3: Cross multiply
    238,475x = 505,381 × 505,381
  4. Step 4: Simplify right side
    238,475x = 255,409,955,161
  5. Step 5: Solve for x
    x = 255,409,955,161/238,475
  6. Step 6: Final answer
    x = 1,071,013.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.