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Finding the Third Proportional to 181,989 and 300,681

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Solution

The third proportional to 181,989 and 300,681 is: 496,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,989 : 300,681 = 300,681 : x
  2. Step 2: Convert to fraction form
    181,989/300,681 = 300,681/x
  3. Step 3: Cross multiply
    181,989x = 300,681 × 300,681
  4. Step 4: Simplify right side
    181,989x = 90,409,063,761
  5. Step 5: Solve for x
    x = 90,409,063,761/181,989
  6. Step 6: Final answer
    x = 496,783.12

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.