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Finding the Third Proportional to 197,019 and 312,023

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Solution

The third proportional to 197,019 and 312,023 is: 494,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,019 : 312,023 = 312,023 : x
  2. Step 2: Convert to fraction form
    197,019/312,023 = 312,023/x
  3. Step 3: Cross multiply
    197,019x = 312,023 × 312,023
  4. Step 4: Simplify right side
    197,019x = 97,358,352,529
  5. Step 5: Solve for x
    x = 97,358,352,529/197,019
  6. Step 6: Final answer
    x = 494,157.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.