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Finding the Third Proportional to 165,556 and 254,789

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Solution

The third proportional to 165,556 and 254,789 is: 392,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,556 : 254,789 = 254,789 : x
  2. Step 2: Convert to fraction form
    165,556/254,789 = 254,789/x
  3. Step 3: Cross multiply
    165,556x = 254,789 × 254,789
  4. Step 4: Simplify right side
    165,556x = 64,917,434,521
  5. Step 5: Solve for x
    x = 64,917,434,521/165,556
  6. Step 6: Final answer
    x = 392,117.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.