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Finding the Third Proportional to 364,346,444.25 and 793,384,348.50

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Solution

The third proportional to 364,346,444.25 and 793,384,348.50 is: 1,727,637,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,346,444.25 : 793,384,348.50 = 793,384,348.50 : x
  2. Step 2: Convert to fraction form
    364,346,444.25/793,384,348.50 = 793,384,348.50/x
  3. Step 3: Cross multiply
    364,346,444.25x = 793,384,348.50 × 793,384,348.50
  4. Step 4: Simplify right side
    364,346,444.25x = 629,458,724,444,769,408
  5. Step 5: Solve for x
    x = 629,458,724,444,769,408/364,346,444.25
  6. Step 6: Final answer
    x = 1,727,637,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.