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Finding the Third Proportional to 438,168 and 705,444

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Solution

The third proportional to 438,168 and 705,444 is: 1,135,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,168 : 705,444 = 705,444 : x
  2. Step 2: Convert to fraction form
    438,168/705,444 = 705,444/x
  3. Step 3: Cross multiply
    438,168x = 705,444 × 705,444
  4. Step 4: Simplify right side
    438,168x = 497,651,237,136
  5. Step 5: Solve for x
    x = 497,651,237,136/438,168
  6. Step 6: Final answer
    x = 1,135,754.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.