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Finding the Third Proportional to 1,289,170.69 and 2,732,017.78

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Solution

The third proportional to 1,289,170.69 and 2,732,017.78 is: 5,789,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,170.69 : 2,732,017.78 = 2,732,017.78 : x
  2. Step 2: Convert to fraction form
    1,289,170.69/2,732,017.78 = 2,732,017.78/x
  3. Step 3: Cross multiply
    1,289,170.69x = 2,732,017.78 × 2,732,017.78
  4. Step 4: Simplify right side
    1,289,170.69x = 7,463,921,157,066.17
  5. Step 5: Solve for x
    x = 7,463,921,157,066.17/1,289,170.69
  6. Step 6: Final answer
    x = 5,789,707.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.