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Finding the Third Proportional to 421,536 and 632,312

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Solution

The third proportional to 421,536 and 632,312 is: 948,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,536 : 632,312 = 632,312 : x
  2. Step 2: Convert to fraction form
    421,536/632,312 = 632,312/x
  3. Step 3: Cross multiply
    421,536x = 632,312 × 632,312
  4. Step 4: Simplify right side
    421,536x = 399,818,465,344
  5. Step 5: Solve for x
    x = 399,818,465,344/421,536
  6. Step 6: Final answer
    x = 948,480.00

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