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Finding the Third Proportional to 398,999.36 and 602,638.10

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Solution

The third proportional to 398,999.36 and 602,638.10 is: 910,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,999.36 : 602,638.10 = 602,638.10 : x
  2. Step 2: Convert to fraction form
    398,999.36/602,638.10 = 602,638.10/x
  3. Step 3: Cross multiply
    398,999.36x = 602,638.10 × 602,638.10
  4. Step 4: Simplify right side
    398,999.36x = 363,172,681,454.85
  5. Step 5: Solve for x
    x = 363,172,681,454.85/398,999.36
  6. Step 6: Final answer
    x = 910,208.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.