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Finding the Third Proportional to 356,855 and 521,880

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Solution

The third proportional to 356,855 and 521,880 is: 763,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,855 : 521,880 = 521,880 : x
  2. Step 2: Convert to fraction form
    356,855/521,880 = 521,880/x
  3. Step 3: Cross multiply
    356,855x = 521,880 × 521,880
  4. Step 4: Simplify right side
    356,855x = 272,358,734,400
  5. Step 5: Solve for x
    x = 272,358,734,400/356,855
  6. Step 6: Final answer
    x = 763,219.61

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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.