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Finding the Third Proportional to 319,066 and 493,985

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Solution

The third proportional to 319,066 and 493,985 is: 764,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,066 : 493,985 = 493,985 : x
  2. Step 2: Convert to fraction form
    319,066/493,985 = 493,985/x
  3. Step 3: Cross multiply
    319,066x = 493,985 × 493,985
  4. Step 4: Simplify right side
    319,066x = 244,021,180,225
  5. Step 5: Solve for x
    x = 244,021,180,225/319,066
  6. Step 6: Final answer
    x = 764,798.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.