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Finding the Third Proportional to 274,964.81 and 402,603.38

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Solution

The third proportional to 274,964.81 and 402,603.38 is: 589,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,964.81 : 402,603.38 = 402,603.38 : x
  2. Step 2: Convert to fraction form
    274,964.81/402,603.38 = 402,603.38/x
  3. Step 3: Cross multiply
    274,964.81x = 402,603.38 × 402,603.38
  4. Step 4: Simplify right side
    274,964.81x = 162,089,477,561.39
  5. Step 5: Solve for x
    x = 162,089,477,561.39/274,964.81
  6. Step 6: Final answer
    x = 589,491.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.