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Finding the Third Proportional to 631,082 and 1,388,373

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Solution

The third proportional to 631,082 and 1,388,373 is: 3,054,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,082 : 1,388,373 = 1,388,373 : x
  2. Step 2: Convert to fraction form
    631,082/1,388,373 = 1,388,373/x
  3. Step 3: Cross multiply
    631,082x = 1,388,373 × 1,388,373
  4. Step 4: Simplify right side
    631,082x = 1,927,579,587,129
  5. Step 5: Solve for x
    x = 1,927,579,587,129/631,082
  6. Step 6: Final answer
    x = 3,054,404.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.