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Finding the Third Proportional to 459,894 and 687,009

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Solution

The third proportional to 459,894 and 687,009 is: 1,026,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,894 : 687,009 = 687,009 : x
  2. Step 2: Convert to fraction form
    459,894/687,009 = 687,009/x
  3. Step 3: Cross multiply
    459,894x = 687,009 × 687,009
  4. Step 4: Simplify right side
    459,894x = 471,981,366,081
  5. Step 5: Solve for x
    x = 471,981,366,081/459,894
  6. Step 6: Final answer
    x = 1,026,282.94

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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.