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Finding the Third Proportional to 53,262,766 and 114,615,244

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Solution

The third proportional to 53,262,766 and 114,615,244 is: 246,638,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262,766 : 114,615,244 = 114,615,244 : x
  2. Step 2: Convert to fraction form
    53,262,766/114,615,244 = 114,615,244/x
  3. Step 3: Cross multiply
    53,262,766x = 114,615,244 × 114,615,244
  4. Step 4: Simplify right side
    53,262,766x = 13,136,654,157,179,536
  5. Step 5: Solve for x
    x = 13,136,654,157,179,536/53,262,766
  6. Step 6: Final answer
    x = 246,638,602.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.