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Finding the Third Proportional to 255,384 and 386,626.50

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Solution

The third proportional to 255,384 and 386,626.50 is: 585,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,384 : 386,626.50 = 386,626.50 : x
  2. Step 2: Convert to fraction form
    255,384/386,626.50 = 386,626.50/x
  3. Step 3: Cross multiply
    255,384x = 386,626.50 × 386,626.50
  4. Step 4: Simplify right side
    255,384x = 149,480,050,502.25
  5. Step 5: Solve for x
    x = 149,480,050,502.25/255,384
  6. Step 6: Final answer
    x = 585,314.86

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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.