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Finding the Third Proportional to 123,338 and 255,428

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Solution

The third proportional to 123,338 and 255,428 is: 528,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,338 : 255,428 = 255,428 : x
  2. Step 2: Convert to fraction form
    123,338/255,428 = 255,428/x
  3. Step 3: Cross multiply
    123,338x = 255,428 × 255,428
  4. Step 4: Simplify right side
    123,338x = 65,243,463,184
  5. Step 5: Solve for x
    x = 65,243,463,184/123,338
  6. Step 6: Final answer
    x = 528,981.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.