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Finding the Third Proportional to 74,122,432 and 111,766,848

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Solution

The third proportional to 74,122,432 and 111,766,848 is: 168,529,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,122,432 : 111,766,848 = 111,766,848 : x
  2. Step 2: Convert to fraction form
    74,122,432/111,766,848 = 111,766,848/x
  3. Step 3: Cross multiply
    74,122,432x = 111,766,848 × 111,766,848
  4. Step 4: Simplify right side
    74,122,432x = 12,491,828,311,855,104
  5. Step 5: Solve for x
    x = 12,491,828,311,855,104/74,122,432
  6. Step 6: Final answer
    x = 168,529,660.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.