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Finding the Third Proportional to 315,087 and 484,311

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Solution

The third proportional to 315,087 and 484,311 is: 744,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,087 : 484,311 = 484,311 : x
  2. Step 2: Convert to fraction form
    315,087/484,311 = 484,311/x
  3. Step 3: Cross multiply
    315,087x = 484,311 × 484,311
  4. Step 4: Simplify right side
    315,087x = 234,557,144,721
  5. Step 5: Solve for x
    x = 234,557,144,721/315,087
  6. Step 6: Final answer
    x = 744,420.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.