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Finding the Third Proportional to 142,612 and 305,468

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Solution

The third proportional to 142,612 and 305,468 is: 654,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612 : 305,468 = 305,468 : x
  2. Step 2: Convert to fraction form
    142,612/305,468 = 305,468/x
  3. Step 3: Cross multiply
    142,612x = 305,468 × 305,468
  4. Step 4: Simplify right side
    142,612x = 93,310,699,024
  5. Step 5: Solve for x
    x = 93,310,699,024/142,612
  6. Step 6: Final answer
    x = 654,297.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.