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Finding the Third Proportional to 420,396.75 and 910,777.50

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Solution

The third proportional to 420,396.75 and 910,777.50 is: 1,973,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,396.75 : 910,777.50 = 910,777.50 : x
  2. Step 2: Convert to fraction form
    420,396.75/910,777.50 = 910,777.50/x
  3. Step 3: Cross multiply
    420,396.75x = 910,777.50 × 910,777.50
  4. Step 4: Simplify right side
    420,396.75x = 829,515,654,506.25
  5. Step 5: Solve for x
    x = 829,515,654,506.25/420,396.75
  6. Step 6: Final answer
    x = 1,973,173.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.