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Finding the Third Proportional to 302,400 and 450,684

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Solution

The third proportional to 302,400 and 450,684 is: 671,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,400 : 450,684 = 450,684 : x
  2. Step 2: Convert to fraction form
    302,400/450,684 = 450,684/x
  3. Step 3: Cross multiply
    302,400x = 450,684 × 450,684
  4. Step 4: Simplify right side
    302,400x = 203,116,067,856
  5. Step 5: Solve for x
    x = 203,116,067,856/302,400
  6. Step 6: Final answer
    x = 671,680.12

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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.