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Finding the Third Proportional to 458,338 and 986,888

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Solution

The third proportional to 458,338 and 986,888 is: 2,124,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,338 : 986,888 = 986,888 : x
  2. Step 2: Convert to fraction form
    458,338/986,888 = 986,888/x
  3. Step 3: Cross multiply
    458,338x = 986,888 × 986,888
  4. Step 4: Simplify right side
    458,338x = 973,947,924,544
  5. Step 5: Solve for x
    x = 973,947,924,544/458,338
  6. Step 6: Final answer
    x = 2,124,955.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.