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Finding the Third Proportional to 7,769,280 and 12,187,707

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Solution

The third proportional to 7,769,280 and 12,187,707 is: 19,118,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,280 : 12,187,707 = 12,187,707 : x
  2. Step 2: Convert to fraction form
    7,769,280/12,187,707 = 12,187,707/x
  3. Step 3: Cross multiply
    7,769,280x = 12,187,707 × 12,187,707
  4. Step 4: Simplify right side
    7,769,280x = 148,540,201,917,849
  5. Step 5: Solve for x
    x = 148,540,201,917,849/7,769,280
  6. Step 6: Final answer
    x = 19,118,914.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.