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Finding the Third Proportional to 255,368 and 404,169

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Solution

The third proportional to 255,368 and 404,169 is: 639,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,368 : 404,169 = 404,169 : x
  2. Step 2: Convert to fraction form
    255,368/404,169 = 404,169/x
  3. Step 3: Cross multiply
    255,368x = 404,169 × 404,169
  4. Step 4: Simplify right side
    255,368x = 163,352,580,561
  5. Step 5: Solve for x
    x = 163,352,580,561/255,368
  6. Step 6: Final answer
    x = 639,675.22

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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.