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Finding the Third Proportional to 364,638 and 551,987

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Solution

The third proportional to 364,638 and 551,987 is: 835,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,638 : 551,987 = 551,987 : x
  2. Step 2: Convert to fraction form
    364,638/551,987 = 551,987/x
  3. Step 3: Cross multiply
    364,638x = 551,987 × 551,987
  4. Step 4: Simplify right side
    364,638x = 304,689,648,169
  5. Step 5: Solve for x
    x = 304,689,648,169/364,638
  6. Step 6: Final answer
    x = 835,594.89

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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.