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Finding the Third Proportional to 698,206 and 1,520,824

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Solution

The third proportional to 698,206 and 1,520,824 is: 3,312,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,206 : 1,520,824 = 1,520,824 : x
  2. Step 2: Convert to fraction form
    698,206/1,520,824 = 1,520,824/x
  3. Step 3: Cross multiply
    698,206x = 1,520,824 × 1,520,824
  4. Step 4: Simplify right side
    698,206x = 2,312,905,638,976
  5. Step 5: Solve for x
    x = 2,312,905,638,976/698,206
  6. Step 6: Final answer
    x = 3,312,640.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.