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Finding the Third Proportional to 12,872,463.75 and 19,428,402.56

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Solution

The third proportional to 12,872,463.75 and 19,428,402.56 is: 29,323,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872,463.75 : 19,428,402.56 = 19,428,402.56 : x
  2. Step 2: Convert to fraction form
    12,872,463.75/19,428,402.56 = 19,428,402.56/x
  3. Step 3: Cross multiply
    12,872,463.75x = 19,428,402.56 × 19,428,402.56
  4. Step 4: Simplify right side
    12,872,463.75x = 377,462,826,130,556.56
  5. Step 5: Solve for x
    x = 377,462,826,130,556.56/12,872,463.75
  6. Step 6: Final answer
    x = 29,323,277.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.