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Finding the Third Proportional to 145,331.72 and 311,682.94

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Solution

The third proportional to 145,331.72 and 311,682.94 is: 668,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,331.72 : 311,682.94 = 311,682.94 : x
  2. Step 2: Convert to fraction form
    145,331.72/311,682.94 = 311,682.94/x
  3. Step 3: Cross multiply
    145,331.72x = 311,682.94 × 311,682.94
  4. Step 4: Simplify right side
    145,331.72x = 97,146,253,528.63
  5. Step 5: Solve for x
    x = 97,146,253,528.63/145,331.72
  6. Step 6: Final answer
    x = 668,444.95

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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.