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Finding the Third Proportional to 55,758,537 and 120,782,421

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Solution

The third proportional to 55,758,537 and 120,782,421 is: 261,635,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,537 : 120,782,421 = 120,782,421 : x
  2. Step 2: Convert to fraction form
    55,758,537/120,782,421 = 120,782,421/x
  3. Step 3: Cross multiply
    55,758,537x = 120,782,421 × 120,782,421
  4. Step 4: Simplify right side
    55,758,537x = 14,588,393,222,621,240
  5. Step 5: Solve for x
    x = 14,588,393,222,621,240/55,758,537
  6. Step 6: Final answer
    x = 261,635,150.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.