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Finding the Third Proportional to 347,307 and 509,619

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Solution

The third proportional to 347,307 and 509,619 is: 747,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,307 : 509,619 = 509,619 : x
  2. Step 2: Convert to fraction form
    347,307/509,619 = 509,619/x
  3. Step 3: Cross multiply
    347,307x = 509,619 × 509,619
  4. Step 4: Simplify right side
    347,307x = 259,711,525,161
  5. Step 5: Solve for x
    x = 259,711,525,161/347,307
  6. Step 6: Final answer
    x = 747,786.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.