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Finding the Third Proportional to 255,976 and 360,312

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Solution

The third proportional to 255,976 and 360,312 is: 507,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,976 : 360,312 = 360,312 : x
  2. Step 2: Convert to fraction form
    255,976/360,312 = 360,312/x
  3. Step 3: Cross multiply
    255,976x = 360,312 × 360,312
  4. Step 4: Simplify right side
    255,976x = 129,824,737,344
  5. Step 5: Solve for x
    x = 129,824,737,344/255,976
  6. Step 6: Final answer
    x = 507,175.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.