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Finding the Third Proportional to 289,426 and 620,380

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Solution

The third proportional to 289,426 and 620,380 is: 1,329,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,426 : 620,380 = 620,380 : x
  2. Step 2: Convert to fraction form
    289,426/620,380 = 620,380/x
  3. Step 3: Cross multiply
    289,426x = 620,380 × 620,380
  4. Step 4: Simplify right side
    289,426x = 384,871,344,400
  5. Step 5: Solve for x
    x = 384,871,344,400/289,426
  6. Step 6: Final answer
    x = 1,329,774.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.