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Finding the Third Proportional to 420,716.75 and 917,582.25

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Solution

The third proportional to 420,716.75 and 917,582.25 is: 2,001,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,716.75 : 917,582.25 = 917,582.25 : x
  2. Step 2: Convert to fraction form
    420,716.75/917,582.25 = 917,582.25/x
  3. Step 3: Cross multiply
    420,716.75x = 917,582.25 × 917,582.25
  4. Step 4: Simplify right side
    420,716.75x = 841,957,185,515.06
  5. Step 5: Solve for x
    x = 841,957,185,515.06/420,716.75
  6. Step 6: Final answer
    x = 2,001,244.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.