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Finding the Third Proportional to 142,128 and 305,768

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Solution

The third proportional to 142,128 and 305,768 is: 657,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128 : 305,768 = 305,768 : x
  2. Step 2: Convert to fraction form
    142,128/305,768 = 305,768/x
  3. Step 3: Cross multiply
    142,128x = 305,768 × 305,768
  4. Step 4: Simplify right side
    142,128x = 93,494,069,824
  5. Step 5: Solve for x
    x = 93,494,069,824/142,128
  6. Step 6: Final answer
    x = 657,815.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.