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Finding the Third Proportional to 421,515 and 632,288.25

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Solution

The third proportional to 421,515 and 632,288.25 is: 948,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,515 : 632,288.25 = 632,288.25 : x
  2. Step 2: Convert to fraction form
    421,515/632,288.25 = 632,288.25/x
  3. Step 3: Cross multiply
    421,515x = 632,288.25 × 632,288.25
  4. Step 4: Simplify right side
    421,515x = 399,788,431,088.06
  5. Step 5: Solve for x
    x = 399,788,431,088.06/421,515
  6. Step 6: Final answer
    x = 948,456.00

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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.