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Finding the Third Proportional to 384,275 and 577,650

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Solution

The third proportional to 384,275 and 577,650 is: 868,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,275 : 577,650 = 577,650 : x
  2. Step 2: Convert to fraction form
    384,275/577,650 = 577,650/x
  3. Step 3: Cross multiply
    384,275x = 577,650 × 577,650
  4. Step 4: Simplify right side
    384,275x = 333,679,522,500
  5. Step 5: Solve for x
    x = 333,679,522,500/384,275
  6. Step 6: Final answer
    x = 868,335.24

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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.