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Finding the Third Proportional to 145,022.25 and 311,466

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Solution

The third proportional to 145,022.25 and 311,466 is: 668,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,022.25 : 311,466 = 311,466 : x
  2. Step 2: Convert to fraction form
    145,022.25/311,466 = 311,466/x
  3. Step 3: Cross multiply
    145,022.25x = 311,466 × 311,466
  4. Step 4: Simplify right side
    145,022.25x = 97,011,069,156
  5. Step 5: Solve for x
    x = 97,011,069,156/145,022.25
  6. Step 6: Final answer
    x = 668,939.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.