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Finding the Third Proportional to 77,097.50 and 115,646

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Solution

The third proportional to 77,097.50 and 115,646 is: 173,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097.50 : 115,646 = 115,646 : x
  2. Step 2: Convert to fraction form
    77,097.50/115,646 = 115,646/x
  3. Step 3: Cross multiply
    77,097.50x = 115,646 × 115,646
  4. Step 4: Simplify right side
    77,097.50x = 13,373,997,316
  5. Step 5: Solve for x
    x = 13,373,997,316/77,097.50
  6. Step 6: Final answer
    x = 173,468.63

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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.