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Finding the Third Proportional to 438,512 and 946,972

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Solution

The third proportional to 438,512 and 946,972 is: 2,044,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,512 : 946,972 = 946,972 : x
  2. Step 2: Convert to fraction form
    438,512/946,972 = 946,972/x
  3. Step 3: Cross multiply
    438,512x = 946,972 × 946,972
  4. Step 4: Simplify right side
    438,512x = 896,755,968,784
  5. Step 5: Solve for x
    x = 896,755,968,784/438,512
  6. Step 6: Final answer
    x = 2,044,997.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.