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Finding the Third Proportional to 315,144 and 472,944

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Solution

The third proportional to 315,144 and 472,944 is: 709,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,144 : 472,944 = 472,944 : x
  2. Step 2: Convert to fraction form
    315,144/472,944 = 472,944/x
  3. Step 3: Cross multiply
    315,144x = 472,944 × 472,944
  4. Step 4: Simplify right side
    315,144x = 223,676,027,136
  5. Step 5: Solve for x
    x = 223,676,027,136/315,144
  6. Step 6: Final answer
    x = 709,758.16

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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.