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Finding the Third Proportional to 315,150 and 472,953

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Solution

The third proportional to 315,150 and 472,953 is: 709,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,150 : 472,953 = 472,953 : x
  2. Step 2: Convert to fraction form
    315,150/472,953 = 472,953/x
  3. Step 3: Cross multiply
    315,150x = 472,953 × 472,953
  4. Step 4: Simplify right side
    315,150x = 223,684,540,209
  5. Step 5: Solve for x
    x = 223,684,540,209/315,150
  6. Step 6: Final answer
    x = 709,771.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.