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Finding the Third Proportional to 77,928,286 and 169,420,401

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Solution

The third proportional to 77,928,286 and 169,420,401 is: 368,329,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,928,286 : 169,420,401 = 169,420,401 : x
  2. Step 2: Convert to fraction form
    77,928,286/169,420,401 = 169,420,401/x
  3. Step 3: Cross multiply
    77,928,286x = 169,420,401 × 169,420,401
  4. Step 4: Simplify right side
    77,928,286x = 28,703,272,275,000,800
  5. Step 5: Solve for x
    x = 28,703,272,275,000,800/77,928,286
  6. Step 6: Final answer
    x = 368,329,315.94

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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.