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Finding the Third Proportional to 289,440 and 620,415

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Solution

The third proportional to 289,440 and 620,415 is: 1,329,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,440 : 620,415 = 620,415 : x
  2. Step 2: Convert to fraction form
    289,440/620,415 = 620,415/x
  3. Step 3: Cross multiply
    289,440x = 620,415 × 620,415
  4. Step 4: Simplify right side
    289,440x = 384,914,772,225
  5. Step 5: Solve for x
    x = 384,914,772,225/289,440
  6. Step 6: Final answer
    x = 1,329,860.32

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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.