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Finding the Third Proportional to 286,938 and 420,219

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Solution

The third proportional to 286,938 and 420,219 is: 615,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,938 : 420,219 = 420,219 : x
  2. Step 2: Convert to fraction form
    286,938/420,219 = 420,219/x
  3. Step 3: Cross multiply
    286,938x = 420,219 × 420,219
  4. Step 4: Simplify right side
    286,938x = 176,584,007,961
  5. Step 5: Solve for x
    x = 176,584,007,961/286,938
  6. Step 6: Final answer
    x = 615,408.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.