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Finding the Third Proportional to 458,810 and 987,922

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Solution

The third proportional to 458,810 and 987,922 is: 2,127,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,810 : 987,922 = 987,922 : x
  2. Step 2: Convert to fraction form
    458,810/987,922 = 987,922/x
  3. Step 3: Cross multiply
    458,810x = 987,922 × 987,922
  4. Step 4: Simplify right side
    458,810x = 975,989,878,084
  5. Step 5: Solve for x
    x = 975,989,878,084/458,810
  6. Step 6: Final answer
    x = 2,127,220.15

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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.