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Finding the Third Proportional to 40,179,984 and 87,209,653

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Solution

The third proportional to 40,179,984 and 87,209,653 is: 189,286,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,179,984 : 87,209,653 = 87,209,653 : x
  2. Step 2: Convert to fraction form
    40,179,984/87,209,653 = 87,209,653/x
  3. Step 3: Cross multiply
    40,179,984x = 87,209,653 × 87,209,653
  4. Step 4: Simplify right side
    40,179,984x = 7,605,523,576,380,409
  5. Step 5: Solve for x
    x = 7,605,523,576,380,409/40,179,984
  6. Step 6: Final answer
    x = 189,286,376.43

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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.