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Finding the Third Proportional to 288,824 and 446,348

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Solution

The third proportional to 288,824 and 446,348 is: 689,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,824 : 446,348 = 446,348 : x
  2. Step 2: Convert to fraction form
    288,824/446,348 = 446,348/x
  3. Step 3: Cross multiply
    288,824x = 446,348 × 446,348
  4. Step 4: Simplify right side
    288,824x = 199,226,537,104
  5. Step 5: Solve for x
    x = 199,226,537,104/288,824
  6. Step 6: Final answer
    x = 689,785.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.