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Finding the Third Proportional to 455,280.75 and 976,991.63

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Solution

The third proportional to 455,280.75 and 976,991.63 is: 2,096,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,280.75 : 976,991.63 = 976,991.63 : x
  2. Step 2: Convert to fraction form
    455,280.75/976,991.63 = 976,991.63/x
  3. Step 3: Cross multiply
    455,280.75x = 976,991.63 × 976,991.63
  4. Step 4: Simplify right side
    455,280.75x = 954,512,635,320.14
  5. Step 5: Solve for x
    x = 954,512,635,320.14/455,280.75
  6. Step 6: Final answer
    x = 2,096,536.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.