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Finding the Third Proportional to 640,173 and 1,379,586

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Solution

The third proportional to 640,173 and 1,379,586 is: 2,973,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,173 : 1,379,586 = 1,379,586 : x
  2. Step 2: Convert to fraction form
    640,173/1,379,586 = 1,379,586/x
  3. Step 3: Cross multiply
    640,173x = 1,379,586 × 1,379,586
  4. Step 4: Simplify right side
    640,173x = 1,903,257,531,396
  5. Step 5: Solve for x
    x = 1,903,257,531,396/640,173
  6. Step 6: Final answer
    x = 2,973,036.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.