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Finding the Third Proportional to 145,692 and 311,642

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Solution

The third proportional to 145,692 and 311,642 is: 666,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692 : 311,642 = 311,642 : x
  2. Step 2: Convert to fraction form
    145,692/311,642 = 311,642/x
  3. Step 3: Cross multiply
    145,692x = 311,642 × 311,642
  4. Step 4: Simplify right side
    145,692x = 97,120,736,164
  5. Step 5: Solve for x
    x = 97,120,736,164/145,692
  6. Step 6: Final answer
    x = 666,616.81

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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.