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Finding the Third Proportional to 54,206,565.75 and 82,580,271.75

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Solution

The third proportional to 54,206,565.75 and 82,580,271.75 is: 125,805,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,206,565.75 : 82,580,271.75 = 82,580,271.75 : x
  2. Step 2: Convert to fraction form
    54,206,565.75/82,580,271.75 = 82,580,271.75/x
  3. Step 3: Cross multiply
    54,206,565.75x = 82,580,271.75 × 82,580,271.75
  4. Step 4: Simplify right side
    54,206,565.75x = 6,819,501,282,303,848
  5. Step 5: Solve for x
    x = 6,819,501,282,303,848/54,206,565.75
  6. Step 6: Final answer
    x = 125,805,816.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.