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Finding the Third Proportional to 179,075,980 and 389,680,132

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Solution

The third proportional to 179,075,980 and 389,680,132 is: 847,967,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,075,980 : 389,680,132 = 389,680,132 : x
  2. Step 2: Convert to fraction form
    179,075,980/389,680,132 = 389,680,132/x
  3. Step 3: Cross multiply
    179,075,980x = 389,680,132 × 389,680,132
  4. Step 4: Simplify right side
    179,075,980x = 151,850,605,275,537,408
  5. Step 5: Solve for x
    x = 151,850,605,275,537,408/179,075,980
  6. Step 6: Final answer
    x = 847,967,467.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.