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Finding the Third Proportional to 686,619 and 1,005,348

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Solution

The third proportional to 686,619 and 1,005,348 is: 1,472,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,619 : 1,005,348 = 1,005,348 : x
  2. Step 2: Convert to fraction form
    686,619/1,005,348 = 1,005,348/x
  3. Step 3: Cross multiply
    686,619x = 1,005,348 × 1,005,348
  4. Step 4: Simplify right side
    686,619x = 1,010,724,601,104
  5. Step 5: Solve for x
    x = 1,010,724,601,104/686,619
  6. Step 6: Final answer
    x = 1,472,031.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.