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Finding the Third Proportional to 438,864 and 641,664

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Solution

The third proportional to 438,864 and 641,664 is: 938,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,864 : 641,664 = 641,664 : x
  2. Step 2: Convert to fraction form
    438,864/641,664 = 641,664/x
  3. Step 3: Cross multiply
    438,864x = 641,664 × 641,664
  4. Step 4: Simplify right side
    438,864x = 411,732,688,896
  5. Step 5: Solve for x
    x = 411,732,688,896/438,864
  6. Step 6: Final answer
    x = 938,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.