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Finding the Third Proportional to 442,133.44 and 947,355.75

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Solution

The third proportional to 442,133.44 and 947,355.75 is: 2,029,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,133.44 : 947,355.75 = 947,355.75 : x
  2. Step 2: Convert to fraction form
    442,133.44/947,355.75 = 947,355.75/x
  3. Step 3: Cross multiply
    442,133.44x = 947,355.75 × 947,355.75
  4. Step 4: Simplify right side
    442,133.44x = 897,482,917,058.06
  5. Step 5: Solve for x
    x = 897,482,917,058.06/442,133.44
  6. Step 6: Final answer
    x = 2,029,891.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.