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Finding the Third Proportional to 145,844 and 343,391

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Solution

The third proportional to 145,844 and 343,391 is: 808,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,844 : 343,391 = 343,391 : x
  2. Step 2: Convert to fraction form
    145,844/343,391 = 343,391/x
  3. Step 3: Cross multiply
    145,844x = 343,391 × 343,391
  4. Step 4: Simplify right side
    145,844x = 117,917,378,881
  5. Step 5: Solve for x
    x = 117,917,378,881/145,844
  6. Step 6: Final answer
    x = 808,517.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.