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Finding the Third Proportional to 348,645 and 538,736

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Solution

The third proportional to 348,645 and 538,736 is: 832,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,645 : 538,736 = 538,736 : x
  2. Step 2: Convert to fraction form
    348,645/538,736 = 538,736/x
  3. Step 3: Cross multiply
    348,645x = 538,736 × 538,736
  4. Step 4: Simplify right side
    348,645x = 290,236,477,696
  5. Step 5: Solve for x
    x = 290,236,477,696/348,645
  6. Step 6: Final answer
    x = 832,469.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.