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Finding the Third Proportional to 99,386,135 and 212,589,733

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Solution

The third proportional to 99,386,135 and 212,589,733 is: 454,735,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,386,135 : 212,589,733 = 212,589,733 : x
  2. Step 2: Convert to fraction form
    99,386,135/212,589,733 = 212,589,733/x
  3. Step 3: Cross multiply
    99,386,135x = 212,589,733 × 212,589,733
  4. Step 4: Simplify right side
    99,386,135x = 45,194,394,577,011,288
  5. Step 5: Solve for x
    x = 45,194,394,577,011,288/99,386,135
  6. Step 6: Final answer
    x = 454,735,407.28

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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.