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Finding the Third Proportional to 310,511.50 and 632,442

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Solution

The third proportional to 310,511.50 and 632,442 is: 1,288,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,511.50 : 632,442 = 632,442 : x
  2. Step 2: Convert to fraction form
    310,511.50/632,442 = 632,442/x
  3. Step 3: Cross multiply
    310,511.50x = 632,442 × 632,442
  4. Step 4: Simplify right side
    310,511.50x = 399,982,883,364
  5. Step 5: Solve for x
    x = 399,982,883,364/310,511.50
  6. Step 6: Final answer
    x = 1,288,141.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.