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Finding the Third Proportional to 255,160 and 365,240

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Solution

The third proportional to 255,160 and 365,240 is: 522,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,160 : 365,240 = 365,240 : x
  2. Step 2: Convert to fraction form
    255,160/365,240 = 365,240/x
  3. Step 3: Cross multiply
    255,160x = 365,240 × 365,240
  4. Step 4: Simplify right side
    255,160x = 133,400,257,600
  5. Step 5: Solve for x
    x = 133,400,257,600/255,160
  6. Step 6: Final answer
    x = 522,810.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.