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Finding the Third Proportional to 294,780 and 631,611

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Solution

The third proportional to 294,780 and 631,611 is: 1,353,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,780 : 631,611 = 631,611 : x
  2. Step 2: Convert to fraction form
    294,780/631,611 = 631,611/x
  3. Step 3: Cross multiply
    294,780x = 631,611 × 631,611
  4. Step 4: Simplify right side
    294,780x = 398,932,455,321
  5. Step 5: Solve for x
    x = 398,932,455,321/294,780
  6. Step 6: Final answer
    x = 1,353,322.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.