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Finding the Third Proportional to 520,796,952.75 and 793,404,911.25

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Solution

The third proportional to 520,796,952.75 and 793,404,911.25 is: 1,208,707,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,796,952.75 : 793,404,911.25 = 793,404,911.25 : x
  2. Step 2: Convert to fraction form
    520,796,952.75/793,404,911.25 = 793,404,911.25/x
  3. Step 3: Cross multiply
    520,796,952.75x = 793,404,911.25 × 793,404,911.25
  4. Step 4: Simplify right side
    520,796,952.75x = 629,491,353,195,620,352
  5. Step 5: Solve for x
    x = 629,491,353,195,620,352/520,796,952.75
  6. Step 6: Final answer
    x = 1,208,707,827.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.