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Finding the Third Proportional to 255,746 and 387,173

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Solution

The third proportional to 255,746 and 387,173 is: 586,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746 : 387,173 = 387,173 : x
  2. Step 2: Convert to fraction form
    255,746/387,173 = 387,173/x
  3. Step 3: Cross multiply
    255,746x = 387,173 × 387,173
  4. Step 4: Simplify right side
    255,746x = 149,902,931,929
  5. Step 5: Solve for x
    x = 149,902,931,929/255,746
  6. Step 6: Final answer
    x = 586,139.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.