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Finding the Third Proportional to 215,913,721.50 and 470,163,123

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Solution

The third proportional to 215,913,721.50 and 470,163,123 is: 1,023,804,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913,721.50 : 470,163,123 = 470,163,123 : x
  2. Step 2: Convert to fraction form
    215,913,721.50/470,163,123 = 470,163,123/x
  3. Step 3: Cross multiply
    215,913,721.50x = 470,163,123 × 470,163,123
  4. Step 4: Simplify right side
    215,913,721.50x = 221,053,362,229,113,120
  5. Step 5: Solve for x
    x = 221,053,362,229,113,120/215,913,721.50
  6. Step 6: Final answer
    x = 1,023,804,141.27

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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.