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Finding the Third Proportional to 255,656 and 401,070

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Solution

The third proportional to 255,656 and 401,070 is: 629,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,656 : 401,070 = 401,070 : x
  2. Step 2: Convert to fraction form
    255,656/401,070 = 401,070/x
  3. Step 3: Cross multiply
    255,656x = 401,070 × 401,070
  4. Step 4: Simplify right side
    255,656x = 160,857,144,900
  5. Step 5: Solve for x
    x = 160,857,144,900/255,656
  6. Step 6: Final answer
    x = 629,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.