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Finding the Third Proportional to 187,081,980 and 408,160,632

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Solution

The third proportional to 187,081,980 and 408,160,632 is: 890,492,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,081,980 : 408,160,632 = 408,160,632 : x
  2. Step 2: Convert to fraction form
    187,081,980/408,160,632 = 408,160,632/x
  3. Step 3: Cross multiply
    187,081,980x = 408,160,632 × 408,160,632
  4. Step 4: Simplify right side
    187,081,980x = 166,595,101,514,639,424
  5. Step 5: Solve for x
    x = 166,595,101,514,639,424/187,081,980
  6. Step 6: Final answer
    x = 890,492,507.69

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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.