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Finding the Third Proportional to 385,786 and 578,291

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Solution

The third proportional to 385,786 and 578,291 is: 866,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,786 : 578,291 = 578,291 : x
  2. Step 2: Convert to fraction form
    385,786/578,291 = 578,291/x
  3. Step 3: Cross multiply
    385,786x = 578,291 × 578,291
  4. Step 4: Simplify right side
    385,786x = 334,420,480,681
  5. Step 5: Solve for x
    x = 334,420,480,681/385,786
  6. Step 6: Final answer
    x = 866,854.89

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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.