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Finding the Third Proportional to 53,110,919 and 114,293,108

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Solution

The third proportional to 53,110,919 and 114,293,108 is: 245,955,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,110,919 : 114,293,108 = 114,293,108 : x
  2. Step 2: Convert to fraction form
    53,110,919/114,293,108 = 114,293,108/x
  3. Step 3: Cross multiply
    53,110,919x = 114,293,108 × 114,293,108
  4. Step 4: Simplify right side
    53,110,919x = 13,062,914,536,299,664
  5. Step 5: Solve for x
    x = 13,062,914,536,299,664/53,110,919
  6. Step 6: Final answer
    x = 245,955,347.46

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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.