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Finding the Third Proportional to 420,001.31 and 987,261.75

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Solution

The third proportional to 420,001.31 and 987,261.75 is: 2,320,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,001.31 : 987,261.75 = 987,261.75 : x
  2. Step 2: Convert to fraction form
    420,001.31/987,261.75 = 987,261.75/x
  3. Step 3: Cross multiply
    420,001.31x = 987,261.75 × 987,261.75
  4. Step 4: Simplify right side
    420,001.31x = 974,685,763,013.06
  5. Step 5: Solve for x
    x = 974,685,763,013.06/420,001.31
  6. Step 6: Final answer
    x = 2,320,673.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.