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Finding the Third Proportional to 306,045 and 666,288

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Solution

The third proportional to 306,045 and 666,288 is: 1,450,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045 : 666,288 = 666,288 : x
  2. Step 2: Convert to fraction form
    306,045/666,288 = 666,288/x
  3. Step 3: Cross multiply
    306,045x = 666,288 × 666,288
  4. Step 4: Simplify right side
    306,045x = 443,939,698,944
  5. Step 5: Solve for x
    x = 443,939,698,944/306,045
  6. Step 6: Final answer
    x = 1,450,570.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.