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Finding the Third Proportional to 423,182 and 655,672

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Solution

The third proportional to 423,182 and 655,672 is: 1,015,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,182 : 655,672 = 655,672 : x
  2. Step 2: Convert to fraction form
    423,182/655,672 = 655,672/x
  3. Step 3: Cross multiply
    423,182x = 655,672 × 655,672
  4. Step 4: Simplify right side
    423,182x = 429,905,771,584
  5. Step 5: Solve for x
    x = 429,905,771,584/423,182
  6. Step 6: Final answer
    x = 1,015,888.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.