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Finding the Third Proportional to 309,575,808 and 447,514,848

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Solution

The third proportional to 309,575,808 and 447,514,848 is: 646,915,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,575,808 : 447,514,848 = 447,514,848 : x
  2. Step 2: Convert to fraction form
    309,575,808/447,514,848 = 447,514,848/x
  3. Step 3: Cross multiply
    309,575,808x = 447,514,848 × 447,514,848
  4. Step 4: Simplify right side
    309,575,808x = 200,269,539,180,463,104
  5. Step 5: Solve for x
    x = 200,269,539,180,463,104/309,575,808
  6. Step 6: Final answer
    x = 646,915,986.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.