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Finding the Third Proportional to 81,582 and 174,396

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Solution

The third proportional to 81,582 and 174,396 is: 372,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,582 : 174,396 = 174,396 : x
  2. Step 2: Convert to fraction form
    81,582/174,396 = 174,396/x
  3. Step 3: Cross multiply
    81,582x = 174,396 × 174,396
  4. Step 4: Simplify right side
    81,582x = 30,413,964,816
  5. Step 5: Solve for x
    x = 30,413,964,816/81,582
  6. Step 6: Final answer
    x = 372,802.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.