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Finding the Third Proportional to 87,781,810 and 192,939,254

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Solution

The third proportional to 87,781,810 and 192,939,254 is: 424,069,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,781,810 : 192,939,254 = 192,939,254 : x
  2. Step 2: Convert to fraction form
    87,781,810/192,939,254 = 192,939,254/x
  3. Step 3: Cross multiply
    87,781,810x = 192,939,254 × 192,939,254
  4. Step 4: Simplify right side
    87,781,810x = 37,225,555,734,076,512
  5. Step 5: Solve for x
    x = 37,225,555,734,076,512/87,781,810
  6. Step 6: Final answer
    x = 424,069,129.29

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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.