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Finding the Third Proportional to 128,911 and 277,569

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Solution

The third proportional to 128,911 and 277,569 is: 597,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,911 : 277,569 = 277,569 : x
  2. Step 2: Convert to fraction form
    128,911/277,569 = 277,569/x
  3. Step 3: Cross multiply
    128,911x = 277,569 × 277,569
  4. Step 4: Simplify right side
    128,911x = 77,044,549,761
  5. Step 5: Solve for x
    x = 77,044,549,761/128,911
  6. Step 6: Final answer
    x = 597,656.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.