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Finding the Third Proportional to 77,234 and 180,442

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Solution

The third proportional to 77,234 and 180,442 is: 421,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234 : 180,442 = 180,442 : x
  2. Step 2: Convert to fraction form
    77,234/180,442 = 180,442/x
  3. Step 3: Cross multiply
    77,234x = 180,442 × 180,442
  4. Step 4: Simplify right side
    77,234x = 32,559,315,364
  5. Step 5: Solve for x
    x = 32,559,315,364/77,234
  6. Step 6: Final answer
    x = 421,567.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.