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Finding the Third Proportional to 9,971,053.31 and 21,689,127

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Solution

The third proportional to 9,971,053.31 and 21,689,127 is: 47,178,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,053.31 : 21,689,127 = 21,689,127 : x
  2. Step 2: Convert to fraction form
    9,971,053.31/21,689,127 = 21,689,127/x
  3. Step 3: Cross multiply
    9,971,053.31x = 21,689,127 × 21,689,127
  4. Step 4: Simplify right side
    9,971,053.31x = 470,418,230,022,129
  5. Step 5: Solve for x
    x = 470,418,230,022,129/9,971,053.31
  6. Step 6: Final answer
    x = 47,178,388.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.