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Finding the Third Proportional to 178,370 and 261,154

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Solution

The third proportional to 178,370 and 261,154 is: 382,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,370 : 261,154 = 261,154 : x
  2. Step 2: Convert to fraction form
    178,370/261,154 = 261,154/x
  3. Step 3: Cross multiply
    178,370x = 261,154 × 261,154
  4. Step 4: Simplify right side
    178,370x = 68,201,411,716
  5. Step 5: Solve for x
    x = 68,201,411,716/178,370
  6. Step 6: Final answer
    x = 382,359.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.