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Finding the Third Proportional to 640,173 and 1,398,462

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Solution

The third proportional to 640,173 and 1,398,462 is: 3,054,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,173 : 1,398,462 = 1,398,462 : x
  2. Step 2: Convert to fraction form
    640,173/1,398,462 = 1,398,462/x
  3. Step 3: Cross multiply
    640,173x = 1,398,462 × 1,398,462
  4. Step 4: Simplify right side
    640,173x = 1,955,695,965,444
  5. Step 5: Solve for x
    x = 1,955,695,965,444/640,173
  6. Step 6: Final answer
    x = 3,054,949.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.