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Finding the Third Proportional to 277,460 and 415,430

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Solution

The third proportional to 277,460 and 415,430 is: 622,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,460 : 415,430 = 415,430 : x
  2. Step 2: Convert to fraction form
    277,460/415,430 = 415,430/x
  3. Step 3: Cross multiply
    277,460x = 415,430 × 415,430
  4. Step 4: Simplify right side
    277,460x = 172,582,084,900
  5. Step 5: Solve for x
    x = 172,582,084,900/277,460
  6. Step 6: Final answer
    x = 622,007.08

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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.