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Finding the Third Proportional to 187,081,978 and 408,160,628

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Solution

The third proportional to 187,081,978 and 408,160,628 is: 890,492,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,081,978 : 408,160,628 = 408,160,628 : x
  2. Step 2: Convert to fraction form
    187,081,978/408,160,628 = 408,160,628/x
  3. Step 3: Cross multiply
    187,081,978x = 408,160,628 × 408,160,628
  4. Step 4: Simplify right side
    187,081,978x = 166,595,098,249,354,368
  5. Step 5: Solve for x
    x = 166,595,098,249,354,368/187,081,978
  6. Step 6: Final answer
    x = 890,492,499.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.