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Finding the Third Proportional to 356,912 and 521,958

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Solution

The third proportional to 356,912 and 521,958 is: 763,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,912 : 521,958 = 521,958 : x
  2. Step 2: Convert to fraction form
    356,912/521,958 = 521,958/x
  3. Step 3: Cross multiply
    356,912x = 521,958 × 521,958
  4. Step 4: Simplify right side
    356,912x = 272,440,153,764
  5. Step 5: Solve for x
    x = 272,440,153,764/356,912
  6. Step 6: Final answer
    x = 763,325.84

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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.