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Finding the Third Proportional to 255,276 and 423,982

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Solution

The third proportional to 255,276 and 423,982 is: 704,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,276 : 423,982 = 423,982 : x
  2. Step 2: Convert to fraction form
    255,276/423,982 = 423,982/x
  3. Step 3: Cross multiply
    255,276x = 423,982 × 423,982
  4. Step 4: Simplify right side
    255,276x = 179,760,736,324
  5. Step 5: Solve for x
    x = 179,760,736,324/255,276
  6. Step 6: Final answer
    x = 704,181.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.