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Finding the Third Proportional to 382,833 and 577,209

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Solution

The third proportional to 382,833 and 577,209 is: 870,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,833 : 577,209 = 577,209 : x
  2. Step 2: Convert to fraction form
    382,833/577,209 = 577,209/x
  3. Step 3: Cross multiply
    382,833x = 577,209 × 577,209
  4. Step 4: Simplify right side
    382,833x = 333,170,229,681
  5. Step 5: Solve for x
    x = 333,170,229,681/382,833
  6. Step 6: Final answer
    x = 870,275.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.