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Finding the Third Proportional to 195,465 and 428,299

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Solution

The third proportional to 195,465 and 428,299 is: 938,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,465 : 428,299 = 428,299 : x
  2. Step 2: Convert to fraction form
    195,465/428,299 = 428,299/x
  3. Step 3: Cross multiply
    195,465x = 428,299 × 428,299
  4. Step 4: Simplify right side
    195,465x = 183,440,033,401
  5. Step 5: Solve for x
    x = 183,440,033,401/195,465
  6. Step 6: Final answer
    x = 938,480.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.