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Finding the Third Proportional to 638,130 and 1,392,174

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Solution

The third proportional to 638,130 and 1,392,174 is: 3,037,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,130 : 1,392,174 = 1,392,174 : x
  2. Step 2: Convert to fraction form
    638,130/1,392,174 = 1,392,174/x
  3. Step 3: Cross multiply
    638,130x = 1,392,174 × 1,392,174
  4. Step 4: Simplify right side
    638,130x = 1,938,148,446,276
  5. Step 5: Solve for x
    x = 1,938,148,446,276/638,130
  6. Step 6: Final answer
    x = 3,037,231.36

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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.