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Finding the Third Proportional to 686,521 and 1,487,410

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Solution

The third proportional to 686,521 and 1,487,410 is: 3,222,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,521 : 1,487,410 = 1,487,410 : x
  2. Step 2: Convert to fraction form
    686,521/1,487,410 = 1,487,410/x
  3. Step 3: Cross multiply
    686,521x = 1,487,410 × 1,487,410
  4. Step 4: Simplify right side
    686,521x = 2,212,388,508,100
  5. Step 5: Solve for x
    x = 2,212,388,508,100/686,521
  6. Step 6: Final answer
    x = 3,222,608.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.