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Finding the Third Proportional to 435,342 and 638,109

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Solution

The third proportional to 435,342 and 638,109 is: 935,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,342 : 638,109 = 638,109 : x
  2. Step 2: Convert to fraction form
    435,342/638,109 = 638,109/x
  3. Step 3: Cross multiply
    435,342x = 638,109 × 638,109
  4. Step 4: Simplify right side
    435,342x = 407,183,095,881
  5. Step 5: Solve for x
    x = 407,183,095,881/435,342
  6. Step 6: Final answer
    x = 935,317.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.