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Finding the Third Proportional to 77,132.25 and 115,698.38

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Solution

The third proportional to 77,132.25 and 115,698.38 is: 173,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,132.25 : 115,698.38 = 115,698.38 : x
  2. Step 2: Convert to fraction form
    77,132.25/115,698.38 = 115,698.38/x
  3. Step 3: Cross multiply
    77,132.25x = 115,698.38 × 115,698.38
  4. Step 4: Simplify right side
    77,132.25x = 13,386,113,977.64
  5. Step 5: Solve for x
    x = 13,386,113,977.64/77,132.25
  6. Step 6: Final answer
    x = 173,547.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.