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Finding the Third Proportional to 330,754.50 and 509,056

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Solution

The third proportional to 330,754.50 and 509,056 is: 783,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,754.50 : 509,056 = 509,056 : x
  2. Step 2: Convert to fraction form
    330,754.50/509,056 = 509,056/x
  3. Step 3: Cross multiply
    330,754.50x = 509,056 × 509,056
  4. Step 4: Simplify right side
    330,754.50x = 259,138,011,136
  5. Step 5: Solve for x
    x = 259,138,011,136/330,754.50
  6. Step 6: Final answer
    x = 783,475.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.