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Finding the Third Proportional to 291,148 and 617,290

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Solution

The third proportional to 291,148 and 617,290 is: 1,308,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,148 : 617,290 = 617,290 : x
  2. Step 2: Convert to fraction form
    291,148/617,290 = 617,290/x
  3. Step 3: Cross multiply
    291,148x = 617,290 × 617,290
  4. Step 4: Simplify right side
    291,148x = 381,046,944,100
  5. Step 5: Solve for x
    x = 381,046,944,100/291,148
  6. Step 6: Final answer
    x = 1,308,774.04

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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.