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Finding the Third Proportional to 459,908 and 687,038

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Solution

The third proportional to 459,908 and 687,038 is: 1,026,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,908 : 687,038 = 687,038 : x
  2. Step 2: Convert to fraction form
    459,908/687,038 = 687,038/x
  3. Step 3: Cross multiply
    459,908x = 687,038 × 687,038
  4. Step 4: Simplify right side
    459,908x = 472,021,213,444
  5. Step 5: Solve for x
    x = 472,021,213,444/459,908
  6. Step 6: Final answer
    x = 1,026,338.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.