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Finding the Third Proportional to 197,250 and 320,465

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Solution

The third proportional to 197,250 and 320,465 is: 520,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,250 : 320,465 = 320,465 : x
  2. Step 2: Convert to fraction form
    197,250/320,465 = 320,465/x
  3. Step 3: Cross multiply
    197,250x = 320,465 × 320,465
  4. Step 4: Simplify right side
    197,250x = 102,697,816,225
  5. Step 5: Solve for x
    x = 102,697,816,225/197,250
  6. Step 6: Final answer
    x = 520,647.99

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.