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Finding the Third Proportional to 128,128 and 277,888

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Solution

The third proportional to 128,128 and 277,888 is: 602,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,128 : 277,888 = 277,888 : x
  2. Step 2: Convert to fraction form
    128,128/277,888 = 277,888/x
  3. Step 3: Cross multiply
    128,128x = 277,888 × 277,888
  4. Step 4: Simplify right side
    128,128x = 77,221,740,544
  5. Step 5: Solve for x
    x = 77,221,740,544/128,128
  6. Step 6: Final answer
    x = 602,692.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.