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Finding the Third Proportional to 91,457,977,178 and 198,113,439,796

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Solution

The third proportional to 91,457,977,178 and 198,113,439,796 is: 429,147,202,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,977,178 : 198,113,439,796 = 198,113,439,796 : x
  2. Step 2: Convert to fraction form
    91,457,977,178/198,113,439,796 = 198,113,439,796/x
  3. Step 3: Cross multiply
    91,457,977,178x = 198,113,439,796 × 198,113,439,796
  4. Step 4: Simplify right side
    91,457,977,178x = 39,248,935,027,803,315,765,248
  5. Step 5: Solve for x
    x = 39,248,935,027,803,315,765,248/91,457,977,178
  6. Step 6: Final answer
    x = 429,147,202,232.73

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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.