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Finding the Third Proportional to 49,365,408 and 106,316,910

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Solution

The third proportional to 49,365,408 and 106,316,910 is: 228,971,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,365,408 : 106,316,910 = 106,316,910 : x
  2. Step 2: Convert to fraction form
    49,365,408/106,316,910 = 106,316,910/x
  3. Step 3: Cross multiply
    49,365,408x = 106,316,910 × 106,316,910
  4. Step 4: Simplify right side
    49,365,408x = 11,303,285,351,948,100
  5. Step 5: Solve for x
    x = 11,303,285,351,948,100/49,365,408
  6. Step 6: Final answer
    x = 228,971,780.24

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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.