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Finding the Third Proportional to 71,098,848 and 106,183,200

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Solution

The third proportional to 71,098,848 and 106,183,200 is: 158,580,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098,848 : 106,183,200 = 106,183,200 : x
  2. Step 2: Convert to fraction form
    71,098,848/106,183,200 = 106,183,200/x
  3. Step 3: Cross multiply
    71,098,848x = 106,183,200 × 106,183,200
  4. Step 4: Simplify right side
    71,098,848x = 11,274,871,962,240,000
  5. Step 5: Solve for x
    x = 11,274,871,962,240,000/71,098,848
  6. Step 6: Final answer
    x = 158,580,234.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.