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Finding the Third Proportional to 302,628 and 453,361

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Solution

The third proportional to 302,628 and 453,361 is: 679,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,628 : 453,361 = 453,361 : x
  2. Step 2: Convert to fraction form
    302,628/453,361 = 453,361/x
  3. Step 3: Cross multiply
    302,628x = 453,361 × 453,361
  4. Step 4: Simplify right side
    302,628x = 205,536,196,321
  5. Step 5: Solve for x
    x = 205,536,196,321/302,628
  6. Step 6: Final answer
    x = 679,171.12

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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.