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Finding the Third Proportional to 51,745,635 and 105,011,842.50

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Solution

The third proportional to 51,745,635 and 105,011,842.50 is: 213,109,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,745,635 : 105,011,842.50 = 105,011,842.50 : x
  2. Step 2: Convert to fraction form
    51,745,635/105,011,842.50 = 105,011,842.50/x
  3. Step 3: Cross multiply
    51,745,635x = 105,011,842.50 × 105,011,842.50
  4. Step 4: Simplify right side
    51,745,635x = 11,027,487,065,244,806
  5. Step 5: Solve for x
    x = 11,027,487,065,244,806/51,745,635
  6. Step 6: Final answer
    x = 213,109,512.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.