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Finding the Third Proportional to 277,490 and 415,122

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Solution

The third proportional to 277,490 and 415,122 is: 621,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,490 : 415,122 = 415,122 : x
  2. Step 2: Convert to fraction form
    277,490/415,122 = 415,122/x
  3. Step 3: Cross multiply
    277,490x = 415,122 × 415,122
  4. Step 4: Simplify right side
    277,490x = 172,326,274,884
  5. Step 5: Solve for x
    x = 172,326,274,884/277,490
  6. Step 6: Final answer
    x = 621,017.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.