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Finding the Third Proportional to 370,890 and 573,831

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Solution

The third proportional to 370,890 and 573,831 is: 887,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,890 : 573,831 = 573,831 : x
  2. Step 2: Convert to fraction form
    370,890/573,831 = 573,831/x
  3. Step 3: Cross multiply
    370,890x = 573,831 × 573,831
  4. Step 4: Simplify right side
    370,890x = 329,282,016,561
  5. Step 5: Solve for x
    x = 329,282,016,561/370,890
  6. Step 6: Final answer
    x = 887,815.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.