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Finding the Third Proportional to 7,139,765.25 and 15,415,714.97

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Solution

The third proportional to 7,139,765.25 and 15,415,714.97 is: 33,284,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139,765.25 : 15,415,714.97 = 15,415,714.97 : x
  2. Step 2: Convert to fraction form
    7,139,765.25/15,415,714.97 = 15,415,714.97/x
  3. Step 3: Cross multiply
    7,139,765.25x = 15,415,714.97 × 15,415,714.97
  4. Step 4: Simplify right side
    7,139,765.25x = 237,644,267,997,742.81
  5. Step 5: Solve for x
    x = 237,644,267,997,742.81/7,139,765.25
  6. Step 6: Final answer
    x = 33,284,605.26

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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.