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Finding the Third Proportional to 630,840 and 1,362,768

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Solution

The third proportional to 630,840 and 1,362,768 is: 2,943,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,840 : 1,362,768 = 1,362,768 : x
  2. Step 2: Convert to fraction form
    630,840/1,362,768 = 1,362,768/x
  3. Step 3: Cross multiply
    630,840x = 1,362,768 × 1,362,768
  4. Step 4: Simplify right side
    630,840x = 1,857,136,621,824
  5. Step 5: Solve for x
    x = 1,857,136,621,824/630,840
  6. Step 6: Final answer
    x = 2,943,910.69

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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.