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Finding the Third Proportional to 119,364 and 257,406

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Solution

The third proportional to 119,364 and 257,406 is: 555,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,364 : 257,406 = 257,406 : x
  2. Step 2: Convert to fraction form
    119,364/257,406 = 257,406/x
  3. Step 3: Cross multiply
    119,364x = 257,406 × 257,406
  4. Step 4: Simplify right side
    119,364x = 66,257,848,836
  5. Step 5: Solve for x
    x = 66,257,848,836/119,364
  6. Step 6: Final answer
    x = 555,090.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.