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Finding the Third Proportional to 269,000 and 390,828

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Solution

The third proportional to 269,000 and 390,828 is: 567,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,000 : 390,828 = 390,828 : x
  2. Step 2: Convert to fraction form
    269,000/390,828 = 390,828/x
  3. Step 3: Cross multiply
    269,000x = 390,828 × 390,828
  4. Step 4: Simplify right side
    269,000x = 152,746,525,584
  5. Step 5: Solve for x
    x = 152,746,525,584/269,000
  6. Step 6: Final answer
    x = 567,830.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.