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Finding the Third Proportional to 7,874,065.69 and 12,220,773.75

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Solution

The third proportional to 7,874,065.69 and 12,220,773.75 is: 18,966,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,065.69 : 12,220,773.75 = 12,220,773.75 : x
  2. Step 2: Convert to fraction form
    7,874,065.69/12,220,773.75 = 12,220,773.75/x
  3. Step 3: Cross multiply
    7,874,065.69x = 12,220,773.75 × 12,220,773.75
  4. Step 4: Simplify right side
    7,874,065.69x = 149,347,311,048,689.06
  5. Step 5: Solve for x
    x = 149,347,311,048,689.06/7,874,065.69
  6. Step 6: Final answer
    x = 18,966,988.21

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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.