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Finding the Third Proportional to 385,959 and 551,418

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Solution

The third proportional to 385,959 and 551,418 is: 787,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,959 : 551,418 = 551,418 : x
  2. Step 2: Convert to fraction form
    385,959/551,418 = 551,418/x
  3. Step 3: Cross multiply
    385,959x = 551,418 × 551,418
  4. Step 4: Simplify right side
    385,959x = 304,061,810,724
  5. Step 5: Solve for x
    x = 304,061,810,724/385,959
  6. Step 6: Final answer
    x = 787,808.58

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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.