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Finding the Third Proportional to 197,143 and 308,854

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Solution

The third proportional to 197,143 and 308,854 is: 483,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,143 : 308,854 = 308,854 : x
  2. Step 2: Convert to fraction form
    197,143/308,854 = 308,854/x
  3. Step 3: Cross multiply
    197,143x = 308,854 × 308,854
  4. Step 4: Simplify right side
    197,143x = 95,390,793,316
  5. Step 5: Solve for x
    x = 95,390,793,316/197,143
  6. Step 6: Final answer
    x = 483,865.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.