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Finding the Third Proportional to 678,267 and 1,473,174

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Solution

The third proportional to 678,267 and 1,473,174 is: 3,199,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,267 : 1,473,174 = 1,473,174 : x
  2. Step 2: Convert to fraction form
    678,267/1,473,174 = 1,473,174/x
  3. Step 3: Cross multiply
    678,267x = 1,473,174 × 1,473,174
  4. Step 4: Simplify right side
    678,267x = 2,170,241,634,276
  5. Step 5: Solve for x
    x = 2,170,241,634,276/678,267
  6. Step 6: Final answer
    x = 3,199,686.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.