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Finding the Third Proportional to 315,975 and 484,518

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Solution

The third proportional to 315,975 and 484,518 is: 742,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,975 : 484,518 = 484,518 : x
  2. Step 2: Convert to fraction form
    315,975/484,518 = 484,518/x
  3. Step 3: Cross multiply
    315,975x = 484,518 × 484,518
  4. Step 4: Simplify right side
    315,975x = 234,757,692,324
  5. Step 5: Solve for x
    x = 234,757,692,324/315,975
  6. Step 6: Final answer
    x = 742,962.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.