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Finding the Third Proportional to 102,560 and 155,255

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Solution

The third proportional to 102,560 and 155,255 is: 235,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,560 : 155,255 = 155,255 : x
  2. Step 2: Convert to fraction form
    102,560/155,255 = 155,255/x
  3. Step 3: Cross multiply
    102,560x = 155,255 × 155,255
  4. Step 4: Simplify right side
    102,560x = 24,104,115,025
  5. Step 5: Solve for x
    x = 24,104,115,025/102,560
  6. Step 6: Final answer
    x = 235,024.52

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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.