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Finding the Third Proportional to 53,262,868 and 114,615,436

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Solution

The third proportional to 53,262,868 and 114,615,436 is: 246,638,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262,868 : 114,615,436 = 114,615,436 : x
  2. Step 2: Convert to fraction form
    53,262,868/114,615,436 = 114,615,436/x
  3. Step 3: Cross multiply
    53,262,868x = 114,615,436 × 114,615,436
  4. Step 4: Simplify right side
    53,262,868x = 13,136,698,169,470,096
  5. Step 5: Solve for x
    x = 13,136,698,169,470,096/53,262,868
  6. Step 6: Final answer
    x = 246,638,956.23

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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.