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Finding the Third Proportional to 45,135 and 90,445

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Solution

The third proportional to 45,135 and 90,445 is: 181,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,135 : 90,445 = 90,445 : x
  2. Step 2: Convert to fraction form
    45,135/90,445 = 90,445/x
  3. Step 3: Cross multiply
    45,135x = 90,445 × 90,445
  4. Step 4: Simplify right side
    45,135x = 8,180,298,025
  5. Step 5: Solve for x
    x = 8,180,298,025/45,135
  6. Step 6: Final answer
    x = 181,240.68

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.