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Finding the Third Proportional to 354,901.50 and 768,820.50

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Solution

The third proportional to 354,901.50 and 768,820.50 is: 1,665,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.50 : 768,820.50 = 768,820.50 : x
  2. Step 2: Convert to fraction form
    354,901.50/768,820.50 = 768,820.50/x
  3. Step 3: Cross multiply
    354,901.50x = 768,820.50 × 768,820.50
  4. Step 4: Simplify right side
    354,901.50x = 591,084,961,220.25
  5. Step 5: Solve for x
    x = 591,084,961,220.25/354,901.50
  6. Step 6: Final answer
    x = 1,665,490.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.