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Finding the Third Proportional to 348,380 and 509,125

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Solution

The third proportional to 348,380 and 509,125 is: 744,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,380 : 509,125 = 509,125 : x
  2. Step 2: Convert to fraction form
    348,380/509,125 = 509,125/x
  3. Step 3: Cross multiply
    348,380x = 509,125 × 509,125
  4. Step 4: Simplify right side
    348,380x = 259,208,265,625
  5. Step 5: Solve for x
    x = 259,208,265,625/348,380
  6. Step 6: Final answer
    x = 744,038.88

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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.