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Finding the Third Proportional to 51,768,425 and 82,413,656

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Solution

The third proportional to 51,768,425 and 82,413,656 is: 131,199,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768,425 : 82,413,656 = 82,413,656 : x
  2. Step 2: Convert to fraction form
    51,768,425/82,413,656 = 82,413,656/x
  3. Step 3: Cross multiply
    51,768,425x = 82,413,656 × 82,413,656
  4. Step 4: Simplify right side
    51,768,425x = 6,792,010,695,286,336
  5. Step 5: Solve for x
    x = 6,792,010,695,286,336/51,768,425
  6. Step 6: Final answer
    x = 131,199,871.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.