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Finding the Third Proportional to 77,479 and 119,723

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Solution

The third proportional to 77,479 and 119,723 is: 184,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,479 : 119,723 = 119,723 : x
  2. Step 2: Convert to fraction form
    77,479/119,723 = 119,723/x
  3. Step 3: Cross multiply
    77,479x = 119,723 × 119,723
  4. Step 4: Simplify right side
    77,479x = 14,333,596,729
  5. Step 5: Solve for x
    x = 14,333,596,729/77,479
  6. Step 6: Final answer
    x = 184,999.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.