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Finding the Third Proportional to 180,878 and 265,903

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Solution

The third proportional to 180,878 and 265,903 is: 390,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878 : 265,903 = 265,903 : x
  2. Step 2: Convert to fraction form
    180,878/265,903 = 265,903/x
  3. Step 3: Cross multiply
    180,878x = 265,903 × 265,903
  4. Step 4: Simplify right side
    180,878x = 70,704,405,409
  5. Step 5: Solve for x
    x = 70,704,405,409/180,878
  6. Step 6: Final answer
    x = 390,895.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.