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Finding the Third Proportional to 77,689.13 and 119,968.59

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Solution

The third proportional to 77,689.13 and 119,968.59 is: 185,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,689.13 : 119,968.59 = 119,968.59 : x
  2. Step 2: Convert to fraction form
    77,689.13/119,968.59 = 119,968.59/x
  3. Step 3: Cross multiply
    77,689.13x = 119,968.59 × 119,968.59
  4. Step 4: Simplify right side
    77,689.13x = 14,392,463,486.35
  5. Step 5: Solve for x
    x = 14,392,463,486.35/77,689.13
  6. Step 6: Final answer
    x = 185,257.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.