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Finding the Third Proportional to 999,489 and 2,158,561.50

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Solution

The third proportional to 999,489 and 2,158,561.50 is: 4,661,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,489 : 2,158,561.50 = 2,158,561.50 : x
  2. Step 2: Convert to fraction form
    999,489/2,158,561.50 = 2,158,561.50/x
  3. Step 3: Cross multiply
    999,489x = 2,158,561.50 × 2,158,561.50
  4. Step 4: Simplify right side
    999,489x = 4,659,387,749,282.25
  5. Step 5: Solve for x
    x = 4,659,387,749,282.25/999,489
  6. Step 6: Final answer
    x = 4,661,769.91

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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.