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Finding the Third Proportional to 145,400 and 313,072

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Solution

The third proportional to 145,400 and 313,072 is: 674,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,400 : 313,072 = 313,072 : x
  2. Step 2: Convert to fraction form
    145,400/313,072 = 313,072/x
  3. Step 3: Cross multiply
    145,400x = 313,072 × 313,072
  4. Step 4: Simplify right side
    145,400x = 98,014,077,184
  5. Step 5: Solve for x
    x = 98,014,077,184/145,400
  6. Step 6: Final answer
    x = 674,099.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.