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Finding the Third Proportional to 149,208 and 212,445

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Solution

The third proportional to 149,208 and 212,445 is: 302,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,208 : 212,445 = 212,445 : x
  2. Step 2: Convert to fraction form
    149,208/212,445 = 212,445/x
  3. Step 3: Cross multiply
    149,208x = 212,445 × 212,445
  4. Step 4: Simplify right side
    149,208x = 45,132,878,025
  5. Step 5: Solve for x
    x = 45,132,878,025/149,208
  6. Step 6: Final answer
    x = 302,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.