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Finding the Third Proportional to 294,780 and 631,620

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Solution

The third proportional to 294,780 and 631,620 is: 1,353,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,780 : 631,620 = 631,620 : x
  2. Step 2: Convert to fraction form
    294,780/631,620 = 631,620/x
  3. Step 3: Cross multiply
    294,780x = 631,620 × 631,620
  4. Step 4: Simplify right side
    294,780x = 398,943,824,400
  5. Step 5: Solve for x
    x = 398,943,824,400/294,780
  6. Step 6: Final answer
    x = 1,353,361.23

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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.