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Finding the Third Proportional to 212,792 and 315,080

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Solution

The third proportional to 212,792 and 315,080 is: 466,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,792 : 315,080 = 315,080 : x
  2. Step 2: Convert to fraction form
    212,792/315,080 = 315,080/x
  3. Step 3: Cross multiply
    212,792x = 315,080 × 315,080
  4. Step 4: Simplify right side
    212,792x = 99,275,406,400
  5. Step 5: Solve for x
    x = 99,275,406,400/212,792
  6. Step 6: Final answer
    x = 466,537.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.