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Finding the Third Proportional to 353,516 and 768,506

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Solution

The third proportional to 353,516 and 768,506 is: 1,670,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,516 : 768,506 = 768,506 : x
  2. Step 2: Convert to fraction form
    353,516/768,506 = 768,506/x
  3. Step 3: Cross multiply
    353,516x = 768,506 × 768,506
  4. Step 4: Simplify right side
    353,516x = 590,601,472,036
  5. Step 5: Solve for x
    x = 590,601,472,036/353,516
  6. Step 6: Final answer
    x = 1,670,649.91

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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.