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Finding the Third Proportional to 77,292 and 119,430

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Solution

The third proportional to 77,292 and 119,430 is: 184,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292 : 119,430 = 119,430 : x
  2. Step 2: Convert to fraction form
    77,292/119,430 = 119,430/x
  3. Step 3: Cross multiply
    77,292x = 119,430 × 119,430
  4. Step 4: Simplify right side
    77,292x = 14,263,524,900
  5. Step 5: Solve for x
    x = 14,263,524,900/77,292
  6. Step 6: Final answer
    x = 184,540.77

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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.