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Finding the Third Proportional to 302,605.50 and 455,214

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Solution

The third proportional to 302,605.50 and 455,214 is: 684,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,605.50 : 455,214 = 455,214 : x
  2. Step 2: Convert to fraction form
    302,605.50/455,214 = 455,214/x
  3. Step 3: Cross multiply
    302,605.50x = 455,214 × 455,214
  4. Step 4: Simplify right side
    302,605.50x = 207,219,785,796
  5. Step 5: Solve for x
    x = 207,219,785,796/302,605.50
  6. Step 6: Final answer
    x = 684,785.26

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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.