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Finding the Third Proportional to 348,385 and 509,135

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Solution

The third proportional to 348,385 and 509,135 is: 744,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,385 : 509,135 = 509,135 : x
  2. Step 2: Convert to fraction form
    348,385/509,135 = 509,135/x
  3. Step 3: Cross multiply
    348,385x = 509,135 × 509,135
  4. Step 4: Simplify right side
    348,385x = 259,218,448,225
  5. Step 5: Solve for x
    x = 259,218,448,225/348,385
  6. Step 6: Final answer
    x = 744,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.