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Finding the Third Proportional to 624,545 and 987,980

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Solution

The third proportional to 624,545 and 987,980 is: 1,562,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,545 : 987,980 = 987,980 : x
  2. Step 2: Convert to fraction form
    624,545/987,980 = 987,980/x
  3. Step 3: Cross multiply
    624,545x = 987,980 × 987,980
  4. Step 4: Simplify right side
    624,545x = 976,104,480,400
  5. Step 5: Solve for x
    x = 976,104,480,400/624,545
  6. Step 6: Final answer
    x = 1,562,904.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.