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Finding the Third Proportional to 345,010 and 523,739

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Solution

The third proportional to 345,010 and 523,739 is: 795,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,010 : 523,739 = 523,739 : x
  2. Step 2: Convert to fraction form
    345,010/523,739 = 523,739/x
  3. Step 3: Cross multiply
    345,010x = 523,739 × 523,739
  4. Step 4: Simplify right side
    345,010x = 274,302,540,121
  5. Step 5: Solve for x
    x = 274,302,540,121/345,010
  6. Step 6: Final answer
    x = 795,056.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.