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Finding the Third Proportional to 624,540 and 987,972

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Solution

The third proportional to 624,540 and 987,972 is: 1,562,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,540 : 987,972 = 987,972 : x
  2. Step 2: Convert to fraction form
    624,540/987,972 = 987,972/x
  3. Step 3: Cross multiply
    624,540x = 987,972 × 987,972
  4. Step 4: Simplify right side
    624,540x = 976,088,672,784
  5. Step 5: Solve for x
    x = 976,088,672,784/624,540
  6. Step 6: Final answer
    x = 1,562,892.17

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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.