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Finding the Third Proportional to 368,420 and 550,348

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Solution

The third proportional to 368,420 and 550,348 is: 822,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,420 : 550,348 = 550,348 : x
  2. Step 2: Convert to fraction form
    368,420/550,348 = 550,348/x
  3. Step 3: Cross multiply
    368,420x = 550,348 × 550,348
  4. Step 4: Simplify right side
    368,420x = 302,882,921,104
  5. Step 5: Solve for x
    x = 302,882,921,104/368,420
  6. Step 6: Final answer
    x = 822,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.