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Finding the Third Proportional to 145,639.69 and 223,534.69

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Solution

The third proportional to 145,639.69 and 223,534.69 is: 343,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,639.69 : 223,534.69 = 223,534.69 : x
  2. Step 2: Convert to fraction form
    145,639.69/223,534.69 = 223,534.69/x
  3. Step 3: Cross multiply
    145,639.69x = 223,534.69 × 223,534.69
  4. Step 4: Simplify right side
    145,639.69x = 49,967,756,515.72
  5. Step 5: Solve for x
    x = 49,967,756,515.72/145,639.69
  6. Step 6: Final answer
    x = 343,091.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.