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Finding the Third Proportional to 103,544,544 and 224,690,112

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Solution

The third proportional to 103,544,544 and 224,690,112 is: 487,574,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,544,544 : 224,690,112 = 224,690,112 : x
  2. Step 2: Convert to fraction form
    103,544,544/224,690,112 = 224,690,112/x
  3. Step 3: Cross multiply
    103,544,544x = 224,690,112 × 224,690,112
  4. Step 4: Simplify right side
    103,544,544x = 50,485,646,430,572,544
  5. Step 5: Solve for x
    x = 50,485,646,430,572,544/103,544,544
  6. Step 6: Final answer
    x = 487,574,182.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.