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Finding the Third Proportional to 103,673,584 and 222,732,613

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Solution

The third proportional to 103,673,584 and 222,732,613 is: 478,519,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,584 : 222,732,613 = 222,732,613 : x
  2. Step 2: Convert to fraction form
    103,673,584/222,732,613 = 222,732,613/x
  3. Step 3: Cross multiply
    103,673,584x = 222,732,613 × 222,732,613
  4. Step 4: Simplify right side
    103,673,584x = 49,609,816,893,807,768
  5. Step 5: Solve for x
    x = 49,609,816,893,807,768/103,673,584
  6. Step 6: Final answer
    x = 478,519,358.35

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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.