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Finding the Third Proportional to 440,911.75 and 620,903.75

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Solution

The third proportional to 440,911.75 and 620,903.75 is: 874,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,911.75 : 620,903.75 = 620,903.75 : x
  2. Step 2: Convert to fraction form
    440,911.75/620,903.75 = 620,903.75/x
  3. Step 3: Cross multiply
    440,911.75x = 620,903.75 × 620,903.75
  4. Step 4: Simplify right side
    440,911.75x = 385,521,466,764.06
  5. Step 5: Solve for x
    x = 385,521,466,764.06/440,911.75
  6. Step 6: Final answer
    x = 874,373.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.