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Finding the Third Proportional to 277,394 and 418,053

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Solution

The third proportional to 277,394 and 418,053 is: 630,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,394 : 418,053 = 418,053 : x
  2. Step 2: Convert to fraction form
    277,394/418,053 = 418,053/x
  3. Step 3: Cross multiply
    277,394x = 418,053 × 418,053
  4. Step 4: Simplify right side
    277,394x = 174,768,310,809
  5. Step 5: Solve for x
    x = 174,768,310,809/277,394
  6. Step 6: Final answer
    x = 630,036.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.