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Finding the Third Proportional to 13,688,784 and 19,138,896

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Solution

The third proportional to 13,688,784 and 19,138,896 is: 26,758,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688,784 : 19,138,896 = 19,138,896 : x
  2. Step 2: Convert to fraction form
    13,688,784/19,138,896 = 19,138,896/x
  3. Step 3: Cross multiply
    13,688,784x = 19,138,896 × 19,138,896
  4. Step 4: Simplify right side
    13,688,784x = 366,297,340,098,816
  5. Step 5: Solve for x
    x = 366,297,340,098,816/13,688,784
  6. Step 6: Final answer
    x = 26,758,939.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.