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Finding the Third Proportional to 181,392 and 272,784

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Solution

The third proportional to 181,392 and 272,784 is: 410,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,392 : 272,784 = 272,784 : x
  2. Step 2: Convert to fraction form
    181,392/272,784 = 272,784/x
  3. Step 3: Cross multiply
    181,392x = 272,784 × 272,784
  4. Step 4: Simplify right side
    181,392x = 74,411,110,656
  5. Step 5: Solve for x
    x = 74,411,110,656/181,392
  6. Step 6: Final answer
    x = 410,222.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.