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Finding the Third Proportional to 255,360 and 386,595

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Solution

The third proportional to 255,360 and 386,595 is: 585,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,360 : 386,595 = 386,595 : x
  2. Step 2: Convert to fraction form
    255,360/386,595 = 386,595/x
  3. Step 3: Cross multiply
    255,360x = 386,595 × 386,595
  4. Step 4: Simplify right side
    255,360x = 149,455,694,025
  5. Step 5: Solve for x
    x = 149,455,694,025/255,360
  6. Step 6: Final answer
    x = 585,274.49

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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.