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Finding the Third Proportional to 976,203 and 2,110,322.25

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Solution

The third proportional to 976,203 and 2,110,322.25 is: 4,562,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,203 : 2,110,322.25 = 2,110,322.25 : x
  2. Step 2: Convert to fraction form
    976,203/2,110,322.25 = 2,110,322.25/x
  3. Step 3: Cross multiply
    976,203x = 2,110,322.25 × 2,110,322.25
  4. Step 4: Simplify right side
    976,203x = 4,453,459,998,845.06
  5. Step 5: Solve for x
    x = 4,453,459,998,845.06/976,203
  6. Step 6: Final answer
    x = 4,562,022.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.