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Finding the Third Proportional to 437,131,104 and 713,720,185.50

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Solution

The third proportional to 437,131,104 and 713,720,185.50 is: 1,165,317,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,131,104 : 713,720,185.50 = 713,720,185.50 : x
  2. Step 2: Convert to fraction form
    437,131,104/713,720,185.50 = 713,720,185.50/x
  3. Step 3: Cross multiply
    437,131,104x = 713,720,185.50 × 713,720,185.50
  4. Step 4: Simplify right side
    437,131,104x = 509,396,503,190,154,432
  5. Step 5: Solve for x
    x = 509,396,503,190,154,432/437,131,104
  6. Step 6: Final answer
    x = 1,165,317,449.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.