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Finding the Third Proportional to 145,283.46 and 218,071.16

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Solution

The third proportional to 145,283.46 and 218,071.16 is: 327,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,283.46 : 218,071.16 = 218,071.16 : x
  2. Step 2: Convert to fraction form
    145,283.46/218,071.16 = 218,071.16/x
  3. Step 3: Cross multiply
    145,283.46x = 218,071.16 × 218,071.16
  4. Step 4: Simplify right side
    145,283.46x = 47,555,029,693.99
  5. Step 5: Solve for x
    x = 47,555,029,693.99/145,283.46
  6. Step 6: Final answer
    x = 327,325.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.