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Finding the Third Proportional to 234,640 and 318,798

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Solution

The third proportional to 234,640 and 318,798 is: 433,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,640 : 318,798 = 318,798 : x
  2. Step 2: Convert to fraction form
    234,640/318,798 = 318,798/x
  3. Step 3: Cross multiply
    234,640x = 318,798 × 318,798
  4. Step 4: Simplify right side
    234,640x = 101,632,164,804
  5. Step 5: Solve for x
    x = 101,632,164,804/234,640
  6. Step 6: Final answer
    x = 433,140.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.