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Finding the Third Proportional to 302,622.75 and 455,240.25

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Solution

The third proportional to 302,622.75 and 455,240.25 is: 684,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,622.75 : 455,240.25 = 455,240.25 : x
  2. Step 2: Convert to fraction form
    302,622.75/455,240.25 = 455,240.25/x
  3. Step 3: Cross multiply
    302,622.75x = 455,240.25 × 455,240.25
  4. Step 4: Simplify right side
    302,622.75x = 207,243,685,220.06
  5. Step 5: Solve for x
    x = 207,243,685,220.06/302,622.75
  6. Step 6: Final answer
    x = 684,825.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.