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Finding the Third Proportional to 421,534 and 632,310

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Solution

The third proportional to 421,534 and 632,310 is: 948,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,534 : 632,310 = 632,310 : x
  2. Step 2: Convert to fraction form
    421,534/632,310 = 632,310/x
  3. Step 3: Cross multiply
    421,534x = 632,310 × 632,310
  4. Step 4: Simplify right side
    421,534x = 399,815,936,100
  5. Step 5: Solve for x
    x = 399,815,936,100/421,534
  6. Step 6: Final answer
    x = 948,478.50

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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.