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Finding the Third Proportional to 215,913,729 and 470,163,137

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Solution

The third proportional to 215,913,729 and 470,163,137 is: 1,023,804,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913,729 : 470,163,137 = 470,163,137 : x
  2. Step 2: Convert to fraction form
    215,913,729/470,163,137 = 470,163,137/x
  3. Step 3: Cross multiply
    215,913,729x = 470,163,137 × 470,163,137
  4. Step 4: Simplify right side
    215,913,729x = 221,053,375,393,680,768
  5. Step 5: Solve for x
    x = 221,053,375,393,680,768/215,913,729
  6. Step 6: Final answer
    x = 1,023,804,166.68

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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.