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Finding the Third Proportional to 76,565,289 and 117,686,389.50

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Solution

The third proportional to 76,565,289 and 117,686,389.50 is: 180,892,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,289 : 117,686,389.50 = 117,686,389.50 : x
  2. Step 2: Convert to fraction form
    76,565,289/117,686,389.50 = 117,686,389.50/x
  3. Step 3: Cross multiply
    76,565,289x = 117,686,389.50 × 117,686,389.50
  4. Step 4: Simplify right side
    76,565,289x = 13,850,086,273,545,710
  5. Step 5: Solve for x
    x = 13,850,086,273,545,710/76,565,289
  6. Step 6: Final answer
    x = 180,892,496.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.