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Finding the Third Proportional to 7,129,784 and 15,395,896

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Solution

The third proportional to 7,129,784 and 15,395,896 is: 33,245,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,784 : 15,395,896 = 15,395,896 : x
  2. Step 2: Convert to fraction form
    7,129,784/15,395,896 = 15,395,896/x
  3. Step 3: Cross multiply
    7,129,784x = 15,395,896 × 15,395,896
  4. Step 4: Simplify right side
    7,129,784x = 237,033,613,642,816
  5. Step 5: Solve for x
    x = 237,033,613,642,816/7,129,784
  6. Step 6: Final answer
    x = 33,245,553.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.