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Finding the Third Proportional to 438,384 and 676,044

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Solution

The third proportional to 438,384 and 676,044 is: 1,042,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,384 : 676,044 = 676,044 : x
  2. Step 2: Convert to fraction form
    438,384/676,044 = 676,044/x
  3. Step 3: Cross multiply
    438,384x = 676,044 × 676,044
  4. Step 4: Simplify right side
    438,384x = 457,035,489,936
  5. Step 5: Solve for x
    x = 457,035,489,936/438,384
  6. Step 6: Final answer
    x = 1,042,546.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.