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Finding the Third Proportional to 356,606 and 553,951

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Solution

The third proportional to 356,606 and 553,951 is: 860,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,606 : 553,951 = 553,951 : x
  2. Step 2: Convert to fraction form
    356,606/553,951 = 553,951/x
  3. Step 3: Cross multiply
    356,606x = 553,951 × 553,951
  4. Step 4: Simplify right side
    356,606x = 306,861,710,401
  5. Step 5: Solve for x
    x = 306,861,710,401/356,606
  6. Step 6: Final answer
    x = 860,506.30

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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.