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Finding the Third Proportional to 635,340 and 987,858

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Solution

The third proportional to 635,340 and 987,858 is: 1,535,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,340 : 987,858 = 987,858 : x
  2. Step 2: Convert to fraction form
    635,340/987,858 = 987,858/x
  3. Step 3: Cross multiply
    635,340x = 987,858 × 987,858
  4. Step 4: Simplify right side
    635,340x = 975,863,428,164
  5. Step 5: Solve for x
    x = 975,863,428,164/635,340
  6. Step 6: Final answer
    x = 1,535,970.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.