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Finding the Third Proportional to 385,965 and 551,427

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Solution

The third proportional to 385,965 and 551,427 is: 787,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,965 : 551,427 = 551,427 : x
  2. Step 2: Convert to fraction form
    385,965/551,427 = 551,427/x
  3. Step 3: Cross multiply
    385,965x = 551,427 × 551,427
  4. Step 4: Simplify right side
    385,965x = 304,071,736,329
  5. Step 5: Solve for x
    x = 304,071,736,329/385,965
  6. Step 6: Final answer
    x = 787,822.05

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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.