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Finding the Third Proportional to 84,490 and 181,460

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Solution

The third proportional to 84,490 and 181,460 is: 389,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,490 : 181,460 = 181,460 : x
  2. Step 2: Convert to fraction form
    84,490/181,460 = 181,460/x
  3. Step 3: Cross multiply
    84,490x = 181,460 × 181,460
  4. Step 4: Simplify right side
    84,490x = 32,927,731,600
  5. Step 5: Solve for x
    x = 32,927,731,600/84,490
  6. Step 6: Final answer
    x = 389,723.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.