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Finding the Third Proportional to 91,457,976,968 and 198,113,439,368

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Solution

The third proportional to 91,457,976,968 and 198,113,439,368 is: 429,147,201,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,976,968 : 198,113,439,368 = 198,113,439,368 : x
  2. Step 2: Convert to fraction form
    91,457,976,968/198,113,439,368 = 198,113,439,368/x
  3. Step 3: Cross multiply
    91,457,976,968x = 198,113,439,368 × 198,113,439,368
  4. Step 4: Simplify right side
    91,457,976,968x = 39,248,934,858,218,209,804,288
  5. Step 5: Solve for x
    x = 39,248,934,858,218,209,804,288/91,457,976,968
  6. Step 6: Final answer
    x = 429,147,201,363.87

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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.