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Finding the Third Proportional to 178,981 and 385,985

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Solution

The third proportional to 178,981 and 385,985 is: 832,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,981 : 385,985 = 385,985 : x
  2. Step 2: Convert to fraction form
    178,981/385,985 = 385,985/x
  3. Step 3: Cross multiply
    178,981x = 385,985 × 385,985
  4. Step 4: Simplify right side
    178,981x = 148,984,420,225
  5. Step 5: Solve for x
    x = 148,984,420,225/178,981
  6. Step 6: Final answer
    x = 832,403.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.