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Finding the Third Proportional to 119,310 and 256,905

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Solution

The third proportional to 119,310 and 256,905 is: 553,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,310 : 256,905 = 256,905 : x
  2. Step 2: Convert to fraction form
    119,310/256,905 = 256,905/x
  3. Step 3: Cross multiply
    119,310x = 256,905 × 256,905
  4. Step 4: Simplify right side
    119,310x = 66,000,179,025
  5. Step 5: Solve for x
    x = 66,000,179,025/119,310
  6. Step 6: Final answer
    x = 553,182.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.