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Finding the Third Proportional to 291,124 and 617,240

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Solution

The third proportional to 291,124 and 617,240 is: 1,308,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,124 : 617,240 = 617,240 : x
  2. Step 2: Convert to fraction form
    291,124/617,240 = 617,240/x
  3. Step 3: Cross multiply
    291,124x = 617,240 × 617,240
  4. Step 4: Simplify right side
    291,124x = 380,985,217,600
  5. Step 5: Solve for x
    x = 380,985,217,600/291,124
  6. Step 6: Final answer
    x = 1,308,669.91

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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.