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Finding the Third Proportional to 145,364 and 311,742

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Solution

The third proportional to 145,364 and 311,742 is: 668,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364 : 311,742 = 311,742 : x
  2. Step 2: Convert to fraction form
    145,364/311,742 = 311,742/x
  3. Step 3: Cross multiply
    145,364x = 311,742 × 311,742
  4. Step 4: Simplify right side
    145,364x = 97,183,074,564
  5. Step 5: Solve for x
    x = 97,183,074,564/145,364
  6. Step 6: Final answer
    x = 668,549.81

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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.