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Finding the Third Proportional to 968,845.50 and 2,262,939.75

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Solution

The third proportional to 968,845.50 and 2,262,939.75 is: 5,285,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,845.50 : 2,262,939.75 = 2,262,939.75 : x
  2. Step 2: Convert to fraction form
    968,845.50/2,262,939.75 = 2,262,939.75/x
  3. Step 3: Cross multiply
    968,845.50x = 2,262,939.75 × 2,262,939.75
  4. Step 4: Simplify right side
    968,845.50x = 5,120,896,312,130.06
  5. Step 5: Solve for x
    x = 5,120,896,312,130.06/968,845.50
  6. Step 6: Final answer
    x = 5,285,565.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.