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Finding the Third Proportional to 611,485.88 and 899,245.13

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Solution

The third proportional to 611,485.88 and 899,245.13 is: 1,322,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,485.88 : 899,245.13 = 899,245.13 : x
  2. Step 2: Convert to fraction form
    611,485.88/899,245.13 = 899,245.13/x
  3. Step 3: Cross multiply
    611,485.88x = 899,245.13 × 899,245.13
  4. Step 4: Simplify right side
    611,485.88x = 808,641,794,836.27
  5. Step 5: Solve for x
    x = 808,641,794,836.27/611,485.88
  6. Step 6: Final answer
    x = 1,322,421.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.