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Finding the Third Proportional to 142,128 and 301,104

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Solution

The third proportional to 142,128 and 301,104 is: 637,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128 : 301,104 = 301,104 : x
  2. Step 2: Convert to fraction form
    142,128/301,104 = 301,104/x
  3. Step 3: Cross multiply
    142,128x = 301,104 × 301,104
  4. Step 4: Simplify right side
    142,128x = 90,663,618,816
  5. Step 5: Solve for x
    x = 90,663,618,816/142,128
  6. Step 6: Final answer
    x = 637,901.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.