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Finding the Third Proportional to 421,532 and 632,307

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Solution

The third proportional to 421,532 and 632,307 is: 948,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,532 : 632,307 = 632,307 : x
  2. Step 2: Convert to fraction form
    421,532/632,307 = 632,307/x
  3. Step 3: Cross multiply
    421,532x = 632,307 × 632,307
  4. Step 4: Simplify right side
    421,532x = 399,812,142,249
  5. Step 5: Solve for x
    x = 399,812,142,249/421,532
  6. Step 6: Final answer
    x = 948,474.00

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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.