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Finding the Third Proportional to 800,464.78 and 1,280,272.08

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Solution

The third proportional to 800,464.78 and 1,280,272.08 is: 2,047,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,464.78 : 1,280,272.08 = 1,280,272.08 : x
  2. Step 2: Convert to fraction form
    800,464.78/1,280,272.08 = 1,280,272.08/x
  3. Step 3: Cross multiply
    800,464.78x = 1,280,272.08 × 1,280,272.08
  4. Step 4: Simplify right side
    800,464.78x = 1,639,096,594,026.51
  5. Step 5: Solve for x
    x = 1,639,096,594,026.51/800,464.78
  6. Step 6: Final answer
    x = 2,047,681.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.