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Finding the Third Proportional to 385,954.88 and 551,412.56

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Solution

The third proportional to 385,954.88 and 551,412.56 is: 787,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,954.88 : 551,412.56 = 551,412.56 : x
  2. Step 2: Convert to fraction form
    385,954.88/551,412.56 = 551,412.56/x
  3. Step 3: Cross multiply
    385,954.88x = 551,412.56 × 551,412.56
  4. Step 4: Simplify right side
    385,954.88x = 304,055,814,082.82
  5. Step 5: Solve for x
    x = 304,055,814,082.82/385,954.88
  6. Step 6: Final answer
    x = 787,801.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.