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Finding the Third Proportional to 89,316 and 138,170

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Solution

The third proportional to 89,316 and 138,170 is: 213,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,316 : 138,170 = 138,170 : x
  2. Step 2: Convert to fraction form
    89,316/138,170 = 138,170/x
  3. Step 3: Cross multiply
    89,316x = 138,170 × 138,170
  4. Step 4: Simplify right side
    89,316x = 19,090,948,900
  5. Step 5: Solve for x
    x = 19,090,948,900/89,316
  6. Step 6: Final answer
    x = 213,746.12

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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.