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Finding the Third Proportional to 442,838 and 687,586

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Solution

The third proportional to 442,838 and 687,586 is: 1,067,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,838 : 687,586 = 687,586 : x
  2. Step 2: Convert to fraction form
    442,838/687,586 = 687,586/x
  3. Step 3: Cross multiply
    442,838x = 687,586 × 687,586
  4. Step 4: Simplify right side
    442,838x = 472,774,507,396
  5. Step 5: Solve for x
    x = 472,774,507,396/442,838
  6. Step 6: Final answer
    x = 1,067,601.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.