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Finding the Third Proportional to 553,656 and 855,018

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Solution

The third proportional to 553,656 and 855,018 is: 1,320,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,656 : 855,018 = 855,018 : x
  2. Step 2: Convert to fraction form
    553,656/855,018 = 855,018/x
  3. Step 3: Cross multiply
    553,656x = 855,018 × 855,018
  4. Step 4: Simplify right side
    553,656x = 731,055,780,324
  5. Step 5: Solve for x
    x = 731,055,780,324/553,656
  6. Step 6: Final answer
    x = 1,320,415.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.