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Finding the Third Proportional to 145,112 and 212,700

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Solution

The third proportional to 145,112 and 212,700 is: 311,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,112 : 212,700 = 212,700 : x
  2. Step 2: Convert to fraction form
    145,112/212,700 = 212,700/x
  3. Step 3: Cross multiply
    145,112x = 212,700 × 212,700
  4. Step 4: Simplify right side
    145,112x = 45,241,290,000
  5. Step 5: Solve for x
    x = 45,241,290,000/145,112
  6. Step 6: Final answer
    x = 311,768.08

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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.