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Finding the Third Proportional to 302,848 and 455,000

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Solution

The third proportional to 302,848 and 455,000 is: 683,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,848 : 455,000 = 455,000 : x
  2. Step 2: Convert to fraction form
    302,848/455,000 = 455,000/x
  3. Step 3: Cross multiply
    302,848x = 455,000 × 455,000
  4. Step 4: Simplify right side
    302,848x = 207,025,000,000
  5. Step 5: Solve for x
    x = 207,025,000,000/302,848
  6. Step 6: Final answer
    x = 683,593.75

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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.