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Finding the Third Proportional to 91,319,292 and 213,117,966

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Solution

The third proportional to 91,319,292 and 213,117,966 is: 497,367,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,319,292 : 213,117,966 = 213,117,966 : x
  2. Step 2: Convert to fraction form
    91,319,292/213,117,966 = 213,117,966/x
  3. Step 3: Cross multiply
    91,319,292x = 213,117,966 × 213,117,966
  4. Step 4: Simplify right side
    91,319,292x = 45,419,267,431,977,152
  5. Step 5: Solve for x
    x = 45,419,267,431,977,152/91,319,292
  6. Step 6: Final answer
    x = 497,367,713.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.