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Finding the Third Proportional to 312,439 and 473,036

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Solution

The third proportional to 312,439 and 473,036 is: 716,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,439 : 473,036 = 473,036 : x
  2. Step 2: Convert to fraction form
    312,439/473,036 = 473,036/x
  3. Step 3: Cross multiply
    312,439x = 473,036 × 473,036
  4. Step 4: Simplify right side
    312,439x = 223,763,057,296
  5. Step 5: Solve for x
    x = 223,763,057,296/312,439
  6. Step 6: Final answer
    x = 716,181.58

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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.