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Finding the Third Proportional to 458,345 and 986,901

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Solution

The third proportional to 458,345 and 986,901 is: 2,124,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,345 : 986,901 = 986,901 : x
  2. Step 2: Convert to fraction form
    458,345/986,901 = 986,901/x
  3. Step 3: Cross multiply
    458,345x = 986,901 × 986,901
  4. Step 4: Simplify right side
    458,345x = 973,973,583,801
  5. Step 5: Solve for x
    x = 973,973,583,801/458,345
  6. Step 6: Final answer
    x = 2,124,979.18

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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.