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Finding the Third Proportional to 255,328,270 and 404,368,170

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Solution

The third proportional to 255,328,270 and 404,368,170 is: 640,405,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,328,270 : 404,368,170 = 404,368,170 : x
  2. Step 2: Convert to fraction form
    255,328,270/404,368,170 = 404,368,170/x
  3. Step 3: Cross multiply
    255,328,270x = 404,368,170 × 404,368,170
  4. Step 4: Simplify right side
    255,328,270x = 163,513,616,909,148,896
  5. Step 5: Solve for x
    x = 163,513,616,909,148,896/255,328,270
  6. Step 6: Final answer
    x = 640,405,454.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.