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Finding the Third Proportional to 104,346 and 155,905

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Solution

The third proportional to 104,346 and 155,905 is: 232,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,346 : 155,905 = 155,905 : x
  2. Step 2: Convert to fraction form
    104,346/155,905 = 155,905/x
  3. Step 3: Cross multiply
    104,346x = 155,905 × 155,905
  4. Step 4: Simplify right side
    104,346x = 24,306,369,025
  5. Step 5: Solve for x
    x = 24,306,369,025/104,346
  6. Step 6: Final answer
    x = 232,940.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.