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Finding the Third Proportional to 302,220 and 453,474

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Solution

The third proportional to 302,220 and 453,474 is: 680,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,220 : 453,474 = 453,474 : x
  2. Step 2: Convert to fraction form
    302,220/453,474 = 453,474/x
  3. Step 3: Cross multiply
    302,220x = 453,474 × 453,474
  4. Step 4: Simplify right side
    302,220x = 205,638,668,676
  5. Step 5: Solve for x
    x = 205,638,668,676/302,220
  6. Step 6: Final answer
    x = 680,427.07

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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.