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Finding the Third Proportional to 413,582.75 and 638,711

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Solution

The third proportional to 413,582.75 and 638,711 is: 986,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,582.75 : 638,711 = 638,711 : x
  2. Step 2: Convert to fraction form
    413,582.75/638,711 = 638,711/x
  3. Step 3: Cross multiply
    413,582.75x = 638,711 × 638,711
  4. Step 4: Simplify right side
    413,582.75x = 407,951,741,521
  5. Step 5: Solve for x
    x = 407,951,741,521/413,582.75
  6. Step 6: Final answer
    x = 986,384.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.