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Finding the Third Proportional to 454,178 and 955,407

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Solution

The third proportional to 454,178 and 955,407 is: 2,009,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,178 : 955,407 = 955,407 : x
  2. Step 2: Convert to fraction form
    454,178/955,407 = 955,407/x
  3. Step 3: Cross multiply
    454,178x = 955,407 × 955,407
  4. Step 4: Simplify right side
    454,178x = 912,802,535,649
  5. Step 5: Solve for x
    x = 912,802,535,649/454,178
  6. Step 6: Final answer
    x = 2,009,790.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.