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Finding the Third Proportional to 255,848 and 357,872

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Solution

The third proportional to 255,848 and 357,872 is: 500,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,848 : 357,872 = 357,872 : x
  2. Step 2: Convert to fraction form
    255,848/357,872 = 357,872/x
  3. Step 3: Cross multiply
    255,848x = 357,872 × 357,872
  4. Step 4: Simplify right side
    255,848x = 128,072,368,384
  5. Step 5: Solve for x
    x = 128,072,368,384/255,848
  6. Step 6: Final answer
    x = 500,579.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.