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Finding the Third Proportional to 402,451.31 and 874,790.44

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Solution

The third proportional to 402,451.31 and 874,790.44 is: 1,901,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,451.31 : 874,790.44 = 874,790.44 : x
  2. Step 2: Convert to fraction form
    402,451.31/874,790.44 = 874,790.44/x
  3. Step 3: Cross multiply
    402,451.31x = 874,790.44 × 874,790.44
  4. Step 4: Simplify right side
    402,451.31x = 765,258,309,541.44
  5. Step 5: Solve for x
    x = 765,258,309,541.44/402,451.31
  6. Step 6: Final answer
    x = 1,901,492.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.