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Finding the Third Proportional to 103,673,566 and 222,732,539

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Solution

The third proportional to 103,673,566 and 222,732,539 is: 478,519,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,566 : 222,732,539 = 222,732,539 : x
  2. Step 2: Convert to fraction form
    103,673,566/222,732,539 = 222,732,539/x
  3. Step 3: Cross multiply
    103,673,566x = 222,732,539 × 222,732,539
  4. Step 4: Simplify right side
    103,673,566x = 49,609,783,929,386,520
  5. Step 5: Solve for x
    x = 49,609,783,929,386,520/103,673,566
  6. Step 6: Final answer
    x = 478,519,123.47

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Why These Related Problems?

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