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Finding the Third Proportional to 314,334 and 643,194

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Solution

The third proportional to 314,334 and 643,194 is: 1,316,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,334 : 643,194 = 643,194 : x
  2. Step 2: Convert to fraction form
    314,334/643,194 = 643,194/x
  3. Step 3: Cross multiply
    314,334x = 643,194 × 643,194
  4. Step 4: Simplify right side
    314,334x = 413,698,521,636
  5. Step 5: Solve for x
    x = 413,698,521,636/314,334
  6. Step 6: Final answer
    x = 1,316,111.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.