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Finding the Third Proportional to 373,620 and 513,774

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Solution

The third proportional to 373,620 and 513,774 is: 706,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,620 : 513,774 = 513,774 : x
  2. Step 2: Convert to fraction form
    373,620/513,774 = 513,774/x
  3. Step 3: Cross multiply
    373,620x = 513,774 × 513,774
  4. Step 4: Simplify right side
    373,620x = 263,963,723,076
  5. Step 5: Solve for x
    x = 263,963,723,076/373,620
  6. Step 6: Final answer
    x = 706,503.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.