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Finding the Third Proportional to 312,202 and 464,845

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Solution

The third proportional to 312,202 and 464,845 is: 692,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,202 : 464,845 = 464,845 : x
  2. Step 2: Convert to fraction form
    312,202/464,845 = 464,845/x
  3. Step 3: Cross multiply
    312,202x = 464,845 × 464,845
  4. Step 4: Simplify right side
    312,202x = 216,080,874,025
  5. Step 5: Solve for x
    x = 216,080,874,025/312,202
  6. Step 6: Final answer
    x = 692,118.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.