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Finding the Third Proportional to 145,622.50 and 311,489.50

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Solution

The third proportional to 145,622.50 and 311,489.50 is: 666,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,622.50 : 311,489.50 = 311,489.50 : x
  2. Step 2: Convert to fraction form
    145,622.50/311,489.50 = 311,489.50/x
  3. Step 3: Cross multiply
    145,622.50x = 311,489.50 × 311,489.50
  4. Step 4: Simplify right side
    145,622.50x = 97,025,708,610.25
  5. Step 5: Solve for x
    x = 97,025,708,610.25/145,622.50
  6. Step 6: Final answer
    x = 666,282.40

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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.