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Finding the Third Proportional to 190,428 and 451,155

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Solution

The third proportional to 190,428 and 451,155 is: 1,068,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,428 : 451,155 = 451,155 : x
  2. Step 2: Convert to fraction form
    190,428/451,155 = 451,155/x
  3. Step 3: Cross multiply
    190,428x = 451,155 × 451,155
  4. Step 4: Simplify right side
    190,428x = 203,540,834,025
  5. Step 5: Solve for x
    x = 203,540,834,025/190,428
  6. Step 6: Final answer
    x = 1,068,859.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.