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Finding the Third Proportional to 256,886.75 and 551,648.25

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Solution

The third proportional to 256,886.75 and 551,648.25 is: 1,184,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,886.75 : 551,648.25 = 551,648.25 : x
  2. Step 2: Convert to fraction form
    256,886.75/551,648.25 = 551,648.25/x
  3. Step 3: Cross multiply
    256,886.75x = 551,648.25 × 551,648.25
  4. Step 4: Simplify right side
    256,886.75x = 304,315,791,728.06
  5. Step 5: Solve for x
    x = 304,315,791,728.06/256,886.75
  6. Step 6: Final answer
    x = 1,184,630.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.