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Finding the Third Proportional to 161,427.94 and 251,368.31

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Solution

The third proportional to 161,427.94 and 251,368.31 is: 391,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,427.94 : 251,368.31 = 251,368.31 : x
  2. Step 2: Convert to fraction form
    161,427.94/251,368.31 = 251,368.31/x
  3. Step 3: Cross multiply
    161,427.94x = 251,368.31 × 251,368.31
  4. Step 4: Simplify right side
    161,427.94x = 63,186,028,529.10
  5. Step 5: Solve for x
    x = 63,186,028,529.10/161,427.94
  6. Step 6: Final answer
    x = 391,419.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.