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Finding the Third Proportional to 455,419.97 and 668,365.17

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Solution

The third proportional to 455,419.97 and 668,365.17 is: 980,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,419.97 : 668,365.17 = 668,365.17 : x
  2. Step 2: Convert to fraction form
    455,419.97/668,365.17 = 668,365.17/x
  3. Step 3: Cross multiply
    455,419.97x = 668,365.17 × 668,365.17
  4. Step 4: Simplify right side
    455,419.97x = 446,712,002,975.50
  5. Step 5: Solve for x
    x = 446,712,002,975.50/455,419.97
  6. Step 6: Final answer
    x = 980,879.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.