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Finding the Third Proportional to 181,213 and 385,754

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Solution

The third proportional to 181,213 and 385,754 is: 821,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,213 : 385,754 = 385,754 : x
  2. Step 2: Convert to fraction form
    181,213/385,754 = 385,754/x
  3. Step 3: Cross multiply
    181,213x = 385,754 × 385,754
  4. Step 4: Simplify right side
    181,213x = 148,806,148,516
  5. Step 5: Solve for x
    x = 148,806,148,516/181,213
  6. Step 6: Final answer
    x = 821,167.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.