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Finding the Third Proportional to 348,718 and 538,850

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Solution

The third proportional to 348,718 and 538,850 is: 832,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,718 : 538,850 = 538,850 : x
  2. Step 2: Convert to fraction form
    348,718/538,850 = 538,850/x
  3. Step 3: Cross multiply
    348,718x = 538,850 × 538,850
  4. Step 4: Simplify right side
    348,718x = 290,359,322,500
  5. Step 5: Solve for x
    x = 290,359,322,500/348,718
  6. Step 6: Final answer
    x = 832,647.93

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