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Finding the Third Proportional to 654,642 and 987,795

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Solution

The third proportional to 654,642 and 987,795 is: 1,490,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,642 : 987,795 = 987,795 : x
  2. Step 2: Convert to fraction form
    654,642/987,795 = 987,795/x
  3. Step 3: Cross multiply
    654,642x = 987,795 × 987,795
  4. Step 4: Simplify right side
    654,642x = 975,738,962,025
  5. Step 5: Solve for x
    x = 975,738,962,025/654,642
  6. Step 6: Final answer
    x = 1,490,492.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.