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Finding the Third Proportional to 123,513 and 255,747

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Solution

The third proportional to 123,513 and 255,747 is: 529,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,513 : 255,747 = 255,747 : x
  2. Step 2: Convert to fraction form
    123,513/255,747 = 255,747/x
  3. Step 3: Cross multiply
    123,513x = 255,747 × 255,747
  4. Step 4: Simplify right side
    123,513x = 65,406,528,009
  5. Step 5: Solve for x
    x = 65,406,528,009/123,513
  6. Step 6: Final answer
    x = 529,551.77

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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.