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Finding the Third Proportional to 102,979,680 and 155,427,172.50

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Solution

The third proportional to 102,979,680 and 155,427,172.50 is: 234,586,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,979,680 : 155,427,172.50 = 155,427,172.50 : x
  2. Step 2: Convert to fraction form
    102,979,680/155,427,172.50 = 155,427,172.50/x
  3. Step 3: Cross multiply
    102,979,680x = 155,427,172.50 × 155,427,172.50
  4. Step 4: Simplify right side
    102,979,680x = 24,157,605,951,344,756
  5. Step 5: Solve for x
    x = 24,157,605,951,344,756/102,979,680
  6. Step 6: Final answer
    x = 234,586,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.