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Finding the Third Proportional to 687,361 and 1,509,209

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Solution

The third proportional to 687,361 and 1,509,209 is: 3,313,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,361 : 1,509,209 = 1,509,209 : x
  2. Step 2: Convert to fraction form
    687,361/1,509,209 = 1,509,209/x
  3. Step 3: Cross multiply
    687,361x = 1,509,209 × 1,509,209
  4. Step 4: Simplify right side
    687,361x = 2,277,711,805,681
  5. Step 5: Solve for x
    x = 2,277,711,805,681/687,361
  6. Step 6: Final answer
    x = 3,313,705.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.