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Finding the Third Proportional to 77,029,468 and 169,173,176

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Solution

The third proportional to 77,029,468 and 169,173,176 is: 371,540,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,029,468 : 169,173,176 = 169,173,176 : x
  2. Step 2: Convert to fraction form
    77,029,468/169,173,176 = 169,173,176/x
  3. Step 3: Cross multiply
    77,029,468x = 169,173,176 × 169,173,176
  4. Step 4: Simplify right side
    77,029,468x = 28,619,563,477,926,976
  5. Step 5: Solve for x
    x = 28,619,563,477,926,976/77,029,468
  6. Step 6: Final answer
    x = 371,540,453.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.