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Finding the Third Proportional to 495,720 and 668,843

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Solution

The third proportional to 495,720 and 668,843 is: 902,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,720 : 668,843 = 668,843 : x
  2. Step 2: Convert to fraction form
    495,720/668,843 = 668,843/x
  3. Step 3: Cross multiply
    495,720x = 668,843 × 668,843
  4. Step 4: Simplify right side
    495,720x = 447,350,958,649
  5. Step 5: Solve for x
    x = 447,350,958,649/495,720
  6. Step 6: Final answer
    x = 902,426.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.