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Finding the Third Proportional to 103,673,552.63 and 222,732,514.13

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Solution

The third proportional to 103,673,552.63 and 222,732,514.13 is: 478,519,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,552.63 : 222,732,514.13 = 222,732,514.13 : x
  2. Step 2: Convert to fraction form
    103,673,552.63/222,732,514.13 = 222,732,514.13/x
  3. Step 3: Cross multiply
    103,673,552.63x = 222,732,514.13 × 222,732,514.13
  4. Step 4: Simplify right side
    103,673,552.63x = 49,609,772,848,443,328
  5. Step 5: Solve for x
    x = 49,609,772,848,443,328/103,673,552.63
  6. Step 6: Final answer
    x = 478,519,078.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.