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Finding the Third Proportional to 91,457,977,176 and 198,113,439,792

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Solution

The third proportional to 91,457,977,176 and 198,113,439,792 is: 429,147,202,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,977,176 : 198,113,439,792 = 198,113,439,792 : x
  2. Step 2: Convert to fraction form
    91,457,977,176/198,113,439,792 = 198,113,439,792/x
  3. Step 3: Cross multiply
    91,457,977,176x = 198,113,439,792 × 198,113,439,792
  4. Step 4: Simplify right side
    91,457,977,176x = 39,248,935,026,218,405,724,160
  5. Step 5: Solve for x
    x = 39,248,935,026,218,405,724,160/91,457,977,176
  6. Step 6: Final answer
    x = 429,147,202,224.78

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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.