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Finding the Third Proportional to 281,982 and 610,428

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Solution

The third proportional to 281,982 and 610,428 is: 1,321,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,982 : 610,428 = 610,428 : x
  2. Step 2: Convert to fraction form
    281,982/610,428 = 610,428/x
  3. Step 3: Cross multiply
    281,982x = 610,428 × 610,428
  4. Step 4: Simplify right side
    281,982x = 372,622,343,184
  5. Step 5: Solve for x
    x = 372,622,343,184/281,982
  6. Step 6: Final answer
    x = 1,321,440.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.