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Finding the Third Proportional to 310,869 and 385,683

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Solution

The third proportional to 310,869 and 385,683 is: 478,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 385,683 = 385,683 : x
  2. Step 2: Convert to fraction form
    310,869/385,683 = 385,683/x
  3. Step 3: Cross multiply
    310,869x = 385,683 × 385,683
  4. Step 4: Simplify right side
    310,869x = 148,751,376,489
  5. Step 5: Solve for x
    x = 148,751,376,489/310,869
  6. Step 6: Final answer
    x = 478,501.80

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.