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Finding the Third Proportional to 421,668 and 652,206

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Solution

The third proportional to 421,668 and 652,206 is: 1,008,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,668 : 652,206 = 652,206 : x
  2. Step 2: Convert to fraction form
    421,668/652,206 = 652,206/x
  3. Step 3: Cross multiply
    421,668x = 652,206 × 652,206
  4. Step 4: Simplify right side
    421,668x = 425,372,666,436
  5. Step 5: Solve for x
    x = 425,372,666,436/421,668
  6. Step 6: Final answer
    x = 1,008,785.74

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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.