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Finding the Third Proportional to 334,010 and 509,439

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Solution

The third proportional to 334,010 and 509,439 is: 777,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,010 : 509,439 = 509,439 : x
  2. Step 2: Convert to fraction form
    334,010/509,439 = 509,439/x
  3. Step 3: Cross multiply
    334,010x = 509,439 × 509,439
  4. Step 4: Simplify right side
    334,010x = 259,528,094,721
  5. Step 5: Solve for x
    x = 259,528,094,721/334,010
  6. Step 6: Final answer
    x = 777,006.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.