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Finding the Third Proportional to 5,178,870 and 7,840,273.50

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Solution

The third proportional to 5,178,870 and 7,840,273.50 is: 11,869,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,870 : 7,840,273.50 = 7,840,273.50 : x
  2. Step 2: Convert to fraction form
    5,178,870/7,840,273.50 = 7,840,273.50/x
  3. Step 3: Cross multiply
    5,178,870x = 7,840,273.50 × 7,840,273.50
  4. Step 4: Simplify right side
    5,178,870x = 61,469,888,554,802.25
  5. Step 5: Solve for x
    x = 61,469,888,554,802.25/5,178,870
  6. Step 6: Final answer
    x = 11,869,363.11

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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.