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Finding the Third Proportional to 179,390 and 277,605

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Solution

The third proportional to 179,390 and 277,605 is: 429,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,390 : 277,605 = 277,605 : x
  2. Step 2: Convert to fraction form
    179,390/277,605 = 277,605/x
  3. Step 3: Cross multiply
    179,390x = 277,605 × 277,605
  4. Step 4: Simplify right side
    179,390x = 77,064,536,025
  5. Step 5: Solve for x
    x = 77,064,536,025/179,390
  6. Step 6: Final answer
    x = 429,592.15

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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.