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Finding the Third Proportional to 478,384 and 987,864

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Solution

The third proportional to 478,384 and 987,864 is: 2,039,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,384 : 987,864 = 987,864 : x
  2. Step 2: Convert to fraction form
    478,384/987,864 = 987,864/x
  3. Step 3: Cross multiply
    478,384x = 987,864 × 987,864
  4. Step 4: Simplify right side
    478,384x = 975,875,282,496
  5. Step 5: Solve for x
    x = 975,875,282,496/478,384
  6. Step 6: Final answer
    x = 2,039,941.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.