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Finding the Third Proportional to 20,200,020 and 31,342,124

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Solution

The third proportional to 20,200,020 and 31,342,124 is: 48,630,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200,020 : 31,342,124 = 31,342,124 : x
  2. Step 2: Convert to fraction form
    20,200,020/31,342,124 = 31,342,124/x
  3. Step 3: Cross multiply
    20,200,020x = 31,342,124 × 31,342,124
  4. Step 4: Simplify right side
    20,200,020x = 982,328,736,831,376
  5. Step 5: Solve for x
    x = 982,328,736,831,376/20,200,020
  6. Step 6: Final answer
    x = 48,630,087.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.