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Finding the Third Proportional to 679,590 and 1,079,649

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Solution

The third proportional to 679,590 and 1,079,649 is: 1,715,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,590 : 1,079,649 = 1,079,649 : x
  2. Step 2: Convert to fraction form
    679,590/1,079,649 = 1,079,649/x
  3. Step 3: Cross multiply
    679,590x = 1,079,649 × 1,079,649
  4. Step 4: Simplify right side
    679,590x = 1,165,641,963,201
  5. Step 5: Solve for x
    x = 1,165,641,963,201/679,590
  6. Step 6: Final answer
    x = 1,715,213.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.