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Finding the Third Proportional to 187,081,982 and 408,160,636

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Solution

The third proportional to 187,081,982 and 408,160,636 is: 890,492,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,081,982 : 408,160,636 = 408,160,636 : x
  2. Step 2: Convert to fraction form
    187,081,982/408,160,636 = 408,160,636/x
  3. Step 3: Cross multiply
    187,081,982x = 408,160,636 × 408,160,636
  4. Step 4: Simplify right side
    187,081,982x = 166,595,104,779,924,480
  5. Step 5: Solve for x
    x = 166,595,104,779,924,480/187,081,982
  6. Step 6: Final answer
    x = 890,492,515.63

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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.