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Finding the Third Proportional to 178,126.50 and 262,476

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Solution

The third proportional to 178,126.50 and 262,476 is: 386,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,126.50 : 262,476 = 262,476 : x
  2. Step 2: Convert to fraction form
    178,126.50/262,476 = 262,476/x
  3. Step 3: Cross multiply
    178,126.50x = 262,476 × 262,476
  4. Step 4: Simplify right side
    178,126.50x = 68,893,650,576
  5. Step 5: Solve for x
    x = 68,893,650,576/178,126.50
  6. Step 6: Final answer
    x = 386,768.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.