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Finding the Third Proportional to 1,313,715 and 1,979,973

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Solution

The third proportional to 1,313,715 and 1,979,973 is: 2,984,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,715 : 1,979,973 = 1,979,973 : x
  2. Step 2: Convert to fraction form
    1,313,715/1,979,973 = 1,979,973/x
  3. Step 3: Cross multiply
    1,313,715x = 1,979,973 × 1,979,973
  4. Step 4: Simplify right side
    1,313,715x = 3,920,293,080,729
  5. Step 5: Solve for x
    x = 3,920,293,080,729/1,313,715
  6. Step 6: Final answer
    x = 2,984,127.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.