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Finding the Third Proportional to 290,774,193 and 436,374,159

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Solution

The third proportional to 290,774,193 and 436,374,159 is: 654,880,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774,193 : 436,374,159 = 436,374,159 : x
  2. Step 2: Convert to fraction form
    290,774,193/436,374,159 = 436,374,159/x
  3. Step 3: Cross multiply
    290,774,193x = 436,374,159 × 436,374,159
  4. Step 4: Simplify right side
    290,774,193x = 190,422,406,642,957,280
  5. Step 5: Solve for x
    x = 190,422,406,642,957,280/290,774,193
  6. Step 6: Final answer
    x = 654,880,698.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.