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Finding the Third Proportional to 320,964 and 496,715

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Solution

The third proportional to 320,964 and 496,715 is: 768,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,964 : 496,715 = 496,715 : x
  2. Step 2: Convert to fraction form
    320,964/496,715 = 496,715/x
  3. Step 3: Cross multiply
    320,964x = 496,715 × 496,715
  4. Step 4: Simplify right side
    320,964x = 246,725,791,225
  5. Step 5: Solve for x
    x = 246,725,791,225/320,964
  6. Step 6: Final answer
    x = 768,702.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.