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Finding the Third Proportional to 1,583,581,256 and 3,479,326,144

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Solution

The third proportional to 1,583,581,256 and 3,479,326,144 is: 7,644,514,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,581,256 : 3,479,326,144 = 3,479,326,144 : x
  2. Step 2: Convert to fraction form
    1,583,581,256/3,479,326,144 = 3,479,326,144/x
  3. Step 3: Cross multiply
    1,583,581,256x = 3,479,326,144 × 3,479,326,144
  4. Step 4: Simplify right side
    1,583,581,256x = 12,105,710,416,321,908,736
  5. Step 5: Solve for x
    x = 12,105,710,416,321,908,736/1,583,581,256
  6. Step 6: Final answer
    x = 7,644,514,842.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.