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Finding the Third Proportional to 145,601.81 and 311,444.81

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Solution

The third proportional to 145,601.81 and 311,444.81 is: 666,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,601.81 : 311,444.81 = 311,444.81 : x
  2. Step 2: Convert to fraction form
    145,601.81/311,444.81 = 311,444.81/x
  3. Step 3: Cross multiply
    145,601.81x = 311,444.81 × 311,444.81
  4. Step 4: Simplify right side
    145,601.81x = 96,997,871,233.16
  5. Step 5: Solve for x
    x = 96,997,871,233.16/145,601.81
  6. Step 6: Final answer
    x = 666,185.88

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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.