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Finding the Third Proportional to 20,509,076 and 31,746,171

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Solution

The third proportional to 20,509,076 and 31,746,171 is: 49,140,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509,076 : 31,746,171 = 31,746,171 : x
  2. Step 2: Convert to fraction form
    20,509,076/31,746,171 = 31,746,171/x
  3. Step 3: Cross multiply
    20,509,076x = 31,746,171 × 31,746,171
  4. Step 4: Simplify right side
    20,509,076x = 1,007,819,373,161,241
  5. Step 5: Solve for x
    x = 1,007,819,373,161,241/20,509,076
  6. Step 6: Final answer
    x = 49,140,164.73

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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.