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Finding the Third Proportional to 921,912 and 1,446,208.50

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Solution

The third proportional to 921,912 and 1,446,208.50 is: 2,268,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,912 : 1,446,208.50 = 1,446,208.50 : x
  2. Step 2: Convert to fraction form
    921,912/1,446,208.50 = 1,446,208.50/x
  3. Step 3: Cross multiply
    921,912x = 1,446,208.50 × 1,446,208.50
  4. Step 4: Simplify right side
    921,912x = 2,091,519,025,472.25
  5. Step 5: Solve for x
    x = 2,091,519,025,472.25/921,912
  6. Step 6: Final answer
    x = 2,268,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.