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Finding the Third Proportional to 77,766 and 115,008

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Solution

The third proportional to 77,766 and 115,008 is: 170,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766 : 115,008 = 115,008 : x
  2. Step 2: Convert to fraction form
    77,766/115,008 = 115,008/x
  3. Step 3: Cross multiply
    77,766x = 115,008 × 115,008
  4. Step 4: Simplify right side
    77,766x = 13,226,840,064
  5. Step 5: Solve for x
    x = 13,226,840,064/77,766
  6. Step 6: Final answer
    x = 170,085.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.