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Finding the Third Proportional to 102,490,646,146 and 220,707,474,692

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Solution

The third proportional to 102,490,646,146 and 220,707,474,692 is: 475,280,342,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,490,646,146 : 220,707,474,692 = 220,707,474,692 : x
  2. Step 2: Convert to fraction form
    102,490,646,146/220,707,474,692 = 220,707,474,692/x
  3. Step 3: Cross multiply
    102,490,646,146x = 220,707,474,692 × 220,707,474,692
  4. Step 4: Simplify right side
    102,490,646,146x = 48,711,789,384,919,817,388,032
  5. Step 5: Solve for x
    x = 48,711,789,384,919,817,388,032/102,490,646,146
  6. Step 6: Final answer
    x = 475,280,342,320.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.