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Finding the Third Proportional to 281,574 and 612,720

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Solution

The third proportional to 281,574 and 612,720 is: 1,333,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,574 : 612,720 = 612,720 : x
  2. Step 2: Convert to fraction form
    281,574/612,720 = 612,720/x
  3. Step 3: Cross multiply
    281,574x = 612,720 × 612,720
  4. Step 4: Simplify right side
    281,574x = 375,425,798,400
  5. Step 5: Solve for x
    x = 375,425,798,400/281,574
  6. Step 6: Final answer
    x = 1,333,311.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.