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Finding the Third Proportional to 319,426.50 and 698,631

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Solution

The third proportional to 319,426.50 and 698,631 is: 1,528,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,426.50 : 698,631 = 698,631 : x
  2. Step 2: Convert to fraction form
    319,426.50/698,631 = 698,631/x
  3. Step 3: Cross multiply
    319,426.50x = 698,631 × 698,631
  4. Step 4: Simplify right side
    319,426.50x = 488,085,274,161
  5. Step 5: Solve for x
    x = 488,085,274,161/319,426.50
  6. Step 6: Final answer
    x = 1,528,004.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.