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Finding the Third Proportional to 89,263 and 138,303

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Solution

The third proportional to 89,263 and 138,303 is: 214,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,263 : 138,303 = 138,303 : x
  2. Step 2: Convert to fraction form
    89,263/138,303 = 138,303/x
  3. Step 3: Cross multiply
    89,263x = 138,303 × 138,303
  4. Step 4: Simplify right side
    89,263x = 19,127,719,809
  5. Step 5: Solve for x
    x = 19,127,719,809/89,263
  6. Step 6: Final answer
    x = 214,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.