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Finding the Third Proportional to 291,552 and 640,176

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Solution

The third proportional to 291,552 and 640,176 is: 1,405,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,552 : 640,176 = 640,176 : x
  2. Step 2: Convert to fraction form
    291,552/640,176 = 640,176/x
  3. Step 3: Cross multiply
    291,552x = 640,176 × 640,176
  4. Step 4: Simplify right side
    291,552x = 409,825,310,976
  5. Step 5: Solve for x
    x = 409,825,310,976/291,552
  6. Step 6: Final answer
    x = 1,405,667.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.