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Finding the Third Proportional to 452,045.25 and 990,807.75

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Solution

The third proportional to 452,045.25 and 990,807.75 is: 2,171,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,045.25 : 990,807.75 = 990,807.75 : x
  2. Step 2: Convert to fraction form
    452,045.25/990,807.75 = 990,807.75/x
  3. Step 3: Cross multiply
    452,045.25x = 990,807.75 × 990,807.75
  4. Step 4: Simplify right side
    452,045.25x = 981,699,997,460.06
  5. Step 5: Solve for x
    x = 981,699,997,460.06/452,045.25
  6. Step 6: Final answer
    x = 2,171,685.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.