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Finding the Third Proportional to 356,025 and 551,082

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Solution

The third proportional to 356,025 and 551,082 is: 853,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,025 : 551,082 = 551,082 : x
  2. Step 2: Convert to fraction form
    356,025/551,082 = 551,082/x
  3. Step 3: Cross multiply
    356,025x = 551,082 × 551,082
  4. Step 4: Simplify right side
    356,025x = 303,691,370,724
  5. Step 5: Solve for x
    x = 303,691,370,724/356,025
  6. Step 6: Final answer
    x = 853,005.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.