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Finding the Third Proportional to 69,106 and 145,174

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Solution

The third proportional to 69,106 and 145,174 is: 304,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106 : 145,174 = 145,174 : x
  2. Step 2: Convert to fraction form
    69,106/145,174 = 145,174/x
  3. Step 3: Cross multiply
    69,106x = 145,174 × 145,174
  4. Step 4: Simplify right side
    69,106x = 21,075,490,276
  5. Step 5: Solve for x
    x = 21,075,490,276/69,106
  6. Step 6: Final answer
    x = 304,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.