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Finding the Third Proportional to 291,122 and 617,236

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Solution

The third proportional to 291,122 and 617,236 is: 1,308,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,122 : 617,236 = 617,236 : x
  2. Step 2: Convert to fraction form
    291,122/617,236 = 617,236/x
  3. Step 3: Cross multiply
    291,122x = 617,236 × 617,236
  4. Step 4: Simplify right side
    291,122x = 380,980,279,696
  5. Step 5: Solve for x
    x = 380,980,279,696/291,122
  6. Step 6: Final answer
    x = 1,308,661.93

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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.