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Finding the Third Proportional to 339,658 and 719,774

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Solution

The third proportional to 339,658 and 719,774 is: 1,525,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,658 : 719,774 = 719,774 : x
  2. Step 2: Convert to fraction form
    339,658/719,774 = 719,774/x
  3. Step 3: Cross multiply
    339,658x = 719,774 × 719,774
  4. Step 4: Simplify right side
    339,658x = 518,074,611,076
  5. Step 5: Solve for x
    x = 518,074,611,076/339,658
  6. Step 6: Final answer
    x = 1,525,283.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.