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Finding the Third Proportional to 142,929.75 and 209,022.75

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Solution

The third proportional to 142,929.75 and 209,022.75 is: 305,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,929.75 : 209,022.75 = 209,022.75 : x
  2. Step 2: Convert to fraction form
    142,929.75/209,022.75 = 209,022.75/x
  3. Step 3: Cross multiply
    142,929.75x = 209,022.75 × 209,022.75
  4. Step 4: Simplify right side
    142,929.75x = 43,690,510,017.56
  5. Step 5: Solve for x
    x = 43,690,510,017.56/142,929.75
  6. Step 6: Final answer
    x = 305,678.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.