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Finding the Third Proportional to 255,470 and 386,739

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Solution

The third proportional to 255,470 and 386,739 is: 585,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,470 : 386,739 = 386,739 : x
  2. Step 2: Convert to fraction form
    255,470/386,739 = 386,739/x
  3. Step 3: Cross multiply
    255,470x = 386,739 × 386,739
  4. Step 4: Simplify right side
    255,470x = 149,567,054,121
  5. Step 5: Solve for x
    x = 149,567,054,121/255,470
  6. Step 6: Final answer
    x = 585,458.39

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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.