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Finding the Third Proportional to 289,444 and 617,120

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Solution

The third proportional to 289,444 and 617,120 is: 1,315,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,444 : 617,120 = 617,120 : x
  2. Step 2: Convert to fraction form
    289,444/617,120 = 617,120/x
  3. Step 3: Cross multiply
    289,444x = 617,120 × 617,120
  4. Step 4: Simplify right side
    289,444x = 380,837,094,400
  5. Step 5: Solve for x
    x = 380,837,094,400/289,444
  6. Step 6: Final answer
    x = 1,315,753.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.