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Finding the Third Proportional to 259,276.50 and 554,518.50

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Solution

The third proportional to 259,276.50 and 554,518.50 is: 1,185,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,276.50 : 554,518.50 = 554,518.50 : x
  2. Step 2: Convert to fraction form
    259,276.50/554,518.50 = 554,518.50/x
  3. Step 3: Cross multiply
    259,276.50x = 554,518.50 × 554,518.50
  4. Step 4: Simplify right side
    259,276.50x = 307,490,766,842.25
  5. Step 5: Solve for x
    x = 307,490,766,842.25/259,276.50
  6. Step 6: Final answer
    x = 1,185,956.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.