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Finding the Third Proportional to 91,467,152,304 and 198,129,790,512

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Solution

The third proportional to 91,467,152,304 and 198,129,790,512 is: 429,174,986,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467,152,304 : 198,129,790,512 = 198,129,790,512 : x
  2. Step 2: Convert to fraction form
    91,467,152,304/198,129,790,512 = 198,129,790,512/x
  3. Step 3: Cross multiply
    91,467,152,304x = 198,129,790,512 × 198,129,790,512
  4. Step 4: Simplify right side
    91,467,152,304x = 39,255,413,888,329,004,875,776
  5. Step 5: Solve for x
    x = 39,255,413,888,329,004,875,776/91,467,152,304
  6. Step 6: Final answer
    x = 429,174,986,861.51

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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.