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Finding the Third Proportional to 81,225.56 and 172,973.81

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Solution

The third proportional to 81,225.56 and 172,973.81 is: 368,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,225.56 : 172,973.81 = 172,973.81 : x
  2. Step 2: Convert to fraction form
    81,225.56/172,973.81 = 172,973.81/x
  3. Step 3: Cross multiply
    81,225.56x = 172,973.81 × 172,973.81
  4. Step 4: Simplify right side
    81,225.56x = 29,919,939,810.79
  5. Step 5: Solve for x
    x = 29,919,939,810.79/81,225.56
  6. Step 6: Final answer
    x = 368,356.20

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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.