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Finding the Third Proportional to 91,457,977,180 and 198,113,439,800

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Solution

The third proportional to 91,457,977,180 and 198,113,439,800 is: 429,147,202,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,977,180 : 198,113,439,800 = 198,113,439,800 : x
  2. Step 2: Convert to fraction form
    91,457,977,180/198,113,439,800 = 198,113,439,800/x
  3. Step 3: Cross multiply
    91,457,977,180x = 198,113,439,800 × 198,113,439,800
  4. Step 4: Simplify right side
    91,457,977,180x = 39,248,935,029,388,225,806,336
  5. Step 5: Solve for x
    x = 39,248,935,029,388,225,806,336/91,457,977,180
  6. Step 6: Final answer
    x = 429,147,202,240.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.