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Finding the Third Proportional to 142,929 and 310,767.75

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Solution

The third proportional to 142,929 and 310,767.75 is: 675,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,929 : 310,767.75 = 310,767.75 : x
  2. Step 2: Convert to fraction form
    142,929/310,767.75 = 310,767.75/x
  3. Step 3: Cross multiply
    142,929x = 310,767.75 × 310,767.75
  4. Step 4: Simplify right side
    142,929x = 96,576,594,440.06
  5. Step 5: Solve for x
    x = 96,576,594,440.06/142,929
  6. Step 6: Final answer
    x = 675,696.29

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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.