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Finding the Third Proportional to 102,103,420 and 218,559,068

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Solution

The third proportional to 102,103,420 and 218,559,068 is: 467,840,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103,420 : 218,559,068 = 218,559,068 : x
  2. Step 2: Convert to fraction form
    102,103,420/218,559,068 = 218,559,068/x
  3. Step 3: Cross multiply
    102,103,420x = 218,559,068 × 218,559,068
  4. Step 4: Simplify right side
    102,103,420x = 47,768,066,205,028,624
  5. Step 5: Solve for x
    x = 47,768,066,205,028,624/102,103,420
  6. Step 6: Final answer
    x = 467,840,021.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.