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Finding the Third Proportional to 354,520 and 765,380

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Solution

The third proportional to 354,520 and 765,380 is: 1,652,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,520 : 765,380 = 765,380 : x
  2. Step 2: Convert to fraction form
    354,520/765,380 = 765,380/x
  3. Step 3: Cross multiply
    354,520x = 765,380 × 765,380
  4. Step 4: Simplify right side
    354,520x = 585,806,544,400
  5. Step 5: Solve for x
    x = 585,806,544,400/354,520
  6. Step 6: Final answer
    x = 1,652,393.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.