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Finding the Third Proportional to 91,206,776.50 and 200,654,729

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Solution

The third proportional to 91,206,776.50 and 200,654,729 is: 441,440,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,206,776.50 : 200,654,729 = 200,654,729 : x
  2. Step 2: Convert to fraction form
    91,206,776.50/200,654,729 = 200,654,729/x
  3. Step 3: Cross multiply
    91,206,776.50x = 200,654,729 × 200,654,729
  4. Step 4: Simplify right side
    91,206,776.50x = 40,262,320,270,063,440
  5. Step 5: Solve for x
    x = 40,262,320,270,063,440/91,206,776.50
  6. Step 6: Final answer
    x = 441,440,009.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.