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Finding the Third Proportional to 142,583.63 and 311,460.19

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Solution

The third proportional to 142,583.63 and 311,460.19 is: 680,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,583.63 : 311,460.19 = 311,460.19 : x
  2. Step 2: Convert to fraction form
    142,583.63/311,460.19 = 311,460.19/x
  3. Step 3: Cross multiply
    142,583.63x = 311,460.19 × 311,460.19
  4. Step 4: Simplify right side
    142,583.63x = 97,007,448,397.54
  5. Step 5: Solve for x
    x = 97,007,448,397.54/142,583.63
  6. Step 6: Final answer
    x = 680,354.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.