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Finding the Third Proportional to 385,784 and 578,288

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Solution

The third proportional to 385,784 and 578,288 is: 866,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,784 : 578,288 = 578,288 : x
  2. Step 2: Convert to fraction form
    385,784/578,288 = 578,288/x
  3. Step 3: Cross multiply
    385,784x = 578,288 × 578,288
  4. Step 4: Simplify right side
    385,784x = 334,417,010,944
  5. Step 5: Solve for x
    x = 334,417,010,944/385,784
  6. Step 6: Final answer
    x = 866,850.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.