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Finding the Third Proportional to 666,072 and 1,438,695

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Solution

The third proportional to 666,072 and 1,438,695 is: 3,107,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,072 : 1,438,695 = 1,438,695 : x
  2. Step 2: Convert to fraction form
    666,072/1,438,695 = 1,438,695/x
  3. Step 3: Cross multiply
    666,072x = 1,438,695 × 1,438,695
  4. Step 4: Simplify right side
    666,072x = 2,069,843,303,025
  5. Step 5: Solve for x
    x = 2,069,843,303,025/666,072
  6. Step 6: Final answer
    x = 3,107,536.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.