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Finding the Third Proportional to 255,412 and 386,674

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Solution

The third proportional to 255,412 and 386,674 is: 585,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,412 : 386,674 = 386,674 : x
  2. Step 2: Convert to fraction form
    255,412/386,674 = 386,674/x
  3. Step 3: Cross multiply
    255,412x = 386,674 × 386,674
  4. Step 4: Simplify right side
    255,412x = 149,516,782,276
  5. Step 5: Solve for x
    x = 149,516,782,276/255,412
  6. Step 6: Final answer
    x = 585,394.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.