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Finding the Third Proportional to 421,656 and 652,191

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Solution

The third proportional to 421,656 and 652,191 is: 1,008,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,656 : 652,191 = 652,191 : x
  2. Step 2: Convert to fraction form
    421,656/652,191 = 652,191/x
  3. Step 3: Cross multiply
    421,656x = 652,191 × 652,191
  4. Step 4: Simplify right side
    421,656x = 425,353,100,481
  5. Step 5: Solve for x
    x = 425,353,100,481/421,656
  6. Step 6: Final answer
    x = 1,008,768.05

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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.