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Finding the Third Proportional to 351,030 and 684,561

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Solution

The third proportional to 351,030 and 684,561 is: 1,334,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,030 : 684,561 = 684,561 : x
  2. Step 2: Convert to fraction form
    351,030/684,561 = 684,561/x
  3. Step 3: Cross multiply
    351,030x = 684,561 × 684,561
  4. Step 4: Simplify right side
    351,030x = 468,623,762,721
  5. Step 5: Solve for x
    x = 468,623,762,721/351,030
  6. Step 6: Final answer
    x = 1,334,996.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.