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Finding the Third Proportional to 438,226 and 626,235

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Solution

The third proportional to 438,226 and 626,235 is: 894,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,226 : 626,235 = 626,235 : x
  2. Step 2: Convert to fraction form
    438,226/626,235 = 626,235/x
  3. Step 3: Cross multiply
    438,226x = 626,235 × 626,235
  4. Step 4: Simplify right side
    438,226x = 392,170,275,225
  5. Step 5: Solve for x
    x = 392,170,275,225/438,226
  6. Step 6: Final answer
    x = 894,904.17

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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.