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Finding the Third Proportional to 616,815 and 920,109

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Solution

The third proportional to 616,815 and 920,109 is: 1,372,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,815 : 920,109 = 920,109 : x
  2. Step 2: Convert to fraction form
    616,815/920,109 = 920,109/x
  3. Step 3: Cross multiply
    616,815x = 920,109 × 920,109
  4. Step 4: Simplify right side
    616,815x = 846,600,571,881
  5. Step 5: Solve for x
    x = 846,600,571,881/616,815
  6. Step 6: Final answer
    x = 1,372,535.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.