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Finding the Third Proportional to 142,576 and 307,152

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Solution

The third proportional to 142,576 and 307,152 is: 661,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576 : 307,152 = 307,152 : x
  2. Step 2: Convert to fraction form
    142,576/307,152 = 307,152/x
  3. Step 3: Cross multiply
    142,576x = 307,152 × 307,152
  4. Step 4: Simplify right side
    142,576x = 94,342,351,104
  5. Step 5: Solve for x
    x = 94,342,351,104/142,576
  6. Step 6: Final answer
    x = 661,698.68

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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.