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Finding the Third Proportional to 68,490 and 102,951

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Solution

The third proportional to 68,490 and 102,951 is: 154,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,490 : 102,951 = 102,951 : x
  2. Step 2: Convert to fraction form
    68,490/102,951 = 102,951/x
  3. Step 3: Cross multiply
    68,490x = 102,951 × 102,951
  4. Step 4: Simplify right side
    68,490x = 10,598,908,401
  5. Step 5: Solve for x
    x = 10,598,908,401/68,490
  6. Step 6: Final answer
    x = 154,751.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.