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Finding the Third Proportional to 421,611.75 and 660,656.25

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Solution

The third proportional to 421,611.75 and 660,656.25 is: 1,035,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,611.75 : 660,656.25 = 660,656.25 : x
  2. Step 2: Convert to fraction form
    421,611.75/660,656.25 = 660,656.25/x
  3. Step 3: Cross multiply
    421,611.75x = 660,656.25 × 660,656.25
  4. Step 4: Simplify right side
    421,611.75x = 436,466,680,664.06
  5. Step 5: Solve for x
    x = 436,466,680,664.06/421,611.75
  6. Step 6: Final answer
    x = 1,035,233.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.