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Finding the Third Proportional to 354,882 and 768,840

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Solution

The third proportional to 354,882 and 768,840 is: 1,665,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,882 : 768,840 = 768,840 : x
  2. Step 2: Convert to fraction form
    354,882/768,840 = 768,840/x
  3. Step 3: Cross multiply
    354,882x = 768,840 × 768,840
  4. Step 4: Simplify right side
    354,882x = 591,114,945,600
  5. Step 5: Solve for x
    x = 591,114,945,600/354,882
  6. Step 6: Final answer
    x = 1,665,666.18

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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.