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Finding the Third Proportional to 281,569 and 612,709

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Solution

The third proportional to 281,569 and 612,709 is: 1,333,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,569 : 612,709 = 612,709 : x
  2. Step 2: Convert to fraction form
    281,569/612,709 = 612,709/x
  3. Step 3: Cross multiply
    281,569x = 612,709 × 612,709
  4. Step 4: Simplify right side
    281,569x = 375,412,318,681
  5. Step 5: Solve for x
    x = 375,412,318,681/281,569
  6. Step 6: Final answer
    x = 1,333,287.11

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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.