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Finding the Third Proportional to 142,804.69 and 303,949.13

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Solution

The third proportional to 142,804.69 and 303,949.13 is: 646,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,804.69 : 303,949.13 = 303,949.13 : x
  2. Step 2: Convert to fraction form
    142,804.69/303,949.13 = 303,949.13/x
  3. Step 3: Cross multiply
    142,804.69x = 303,949.13 × 303,949.13
  4. Step 4: Simplify right side
    142,804.69x = 92,385,070,588.27
  5. Step 5: Solve for x
    x = 92,385,070,588.27/142,804.69
  6. Step 6: Final answer
    x = 646,933.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.