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Finding the Third Proportional to 348,710 and 538,838

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Solution

The third proportional to 348,710 and 538,838 is: 832,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,710 : 538,838 = 538,838 : x
  2. Step 2: Convert to fraction form
    348,710/538,838 = 538,838/x
  3. Step 3: Cross multiply
    348,710x = 538,838 × 538,838
  4. Step 4: Simplify right side
    348,710x = 290,346,390,244
  5. Step 5: Solve for x
    x = 290,346,390,244/348,710
  6. Step 6: Final answer
    x = 832,629.95

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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.