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Finding the Third Proportional to 421,531 and 632,306

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Solution

The third proportional to 421,531 and 632,306 is: 948,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,531 : 632,306 = 632,306 : x
  2. Step 2: Convert to fraction form
    421,531/632,306 = 632,306/x
  3. Step 3: Cross multiply
    421,531x = 632,306 × 632,306
  4. Step 4: Simplify right side
    421,531x = 399,810,877,636
  5. Step 5: Solve for x
    x = 399,810,877,636/421,531
  6. Step 6: Final answer
    x = 948,473.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.