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Finding the Third Proportional to 385,961 and 551,421

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Solution

The third proportional to 385,961 and 551,421 is: 787,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,961 : 551,421 = 551,421 : x
  2. Step 2: Convert to fraction form
    385,961/551,421 = 551,421/x
  3. Step 3: Cross multiply
    385,961x = 551,421 × 551,421
  4. Step 4: Simplify right side
    385,961x = 304,065,119,241
  5. Step 5: Solve for x
    x = 304,065,119,241/385,961
  6. Step 6: Final answer
    x = 787,813.07

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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.