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Finding the Third Proportional to 2,158,305.75 and 4,662,430.88

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Solution

The third proportional to 2,158,305.75 and 4,662,430.88 is: 10,071,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,305.75 : 4,662,430.88 = 4,662,430.88 : x
  2. Step 2: Convert to fraction form
    2,158,305.75/4,662,430.88 = 4,662,430.88/x
  3. Step 3: Cross multiply
    2,158,305.75x = 4,662,430.88 × 4,662,430.88
  4. Step 4: Simplify right side
    2,158,305.75x = 21,738,261,664,153.27
  5. Step 5: Solve for x
    x = 21,738,261,664,153.27/2,158,305.75
  6. Step 6: Final answer
    x = 10,071,910.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.