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Finding the Third Proportional to 438,208 and 626,208

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Solution

The third proportional to 438,208 and 626,208 is: 894,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,208 : 626,208 = 626,208 : x
  2. Step 2: Convert to fraction form
    438,208/626,208 = 626,208/x
  3. Step 3: Cross multiply
    438,208x = 626,208 × 626,208
  4. Step 4: Simplify right side
    438,208x = 392,136,459,264
  5. Step 5: Solve for x
    x = 392,136,459,264/438,208
  6. Step 6: Final answer
    x = 894,863.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.