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Finding the Third Proportional to 408,229.88 and 643,646.25

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Solution

The third proportional to 408,229.88 and 643,646.25 is: 1,014,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,229.88 : 643,646.25 = 643,646.25 : x
  2. Step 2: Convert to fraction form
    408,229.88/643,646.25 = 643,646.25/x
  3. Step 3: Cross multiply
    408,229.88x = 643,646.25 × 643,646.25
  4. Step 4: Simplify right side
    408,229.88x = 414,280,495,139.06
  5. Step 5: Solve for x
    x = 414,280,495,139.06/408,229.88
  6. Step 6: Final answer
    x = 1,014,821.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.