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Finding the Third Proportional to 438,096 and 626,040

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Solution

The third proportional to 438,096 and 626,040 is: 894,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,096 : 626,040 = 626,040 : x
  2. Step 2: Convert to fraction form
    438,096/626,040 = 626,040/x
  3. Step 3: Cross multiply
    438,096x = 626,040 × 626,040
  4. Step 4: Simplify right side
    438,096x = 391,926,081,600
  5. Step 5: Solve for x
    x = 391,926,081,600/438,096
  6. Step 6: Final answer
    x = 894,612.33

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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.