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Finding the Third Proportional to 145,005 and 321,115

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Solution

The third proportional to 145,005 and 321,115 is: 711,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,005 : 321,115 = 321,115 : x
  2. Step 2: Convert to fraction form
    145,005/321,115 = 321,115/x
  3. Step 3: Cross multiply
    145,005x = 321,115 × 321,115
  4. Step 4: Simplify right side
    145,005x = 103,114,843,225
  5. Step 5: Solve for x
    x = 103,114,843,225/145,005
  6. Step 6: Final answer
    x = 711,112.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.