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Finding the Third Proportional to 319,070 and 493,991

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Solution

The third proportional to 319,070 and 493,991 is: 764,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,070 : 493,991 = 493,991 : x
  2. Step 2: Convert to fraction form
    319,070/493,991 = 493,991/x
  3. Step 3: Cross multiply
    319,070x = 493,991 × 493,991
  4. Step 4: Simplify right side
    319,070x = 244,027,108,081
  5. Step 5: Solve for x
    x = 244,027,108,081/319,070
  6. Step 6: Final answer
    x = 764,807.43

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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.