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Finding the Third Proportional to 142,975.13 and 310,850.16

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Solution

The third proportional to 142,975.13 and 310,850.16 is: 675,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,975.13 : 310,850.16 = 310,850.16 : x
  2. Step 2: Convert to fraction form
    142,975.13/310,850.16 = 310,850.16/x
  3. Step 3: Cross multiply
    142,975.13x = 310,850.16 × 310,850.16
  4. Step 4: Simplify right side
    142,975.13x = 96,627,819,640.65
  5. Step 5: Solve for x
    x = 96,627,819,640.65/142,975.13
  6. Step 6: Final answer
    x = 675,836.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.