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Finding the Third Proportional to 288,360 and 385,722

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Solution

The third proportional to 288,360 and 385,722 is: 515,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,360 : 385,722 = 385,722 : x
  2. Step 2: Convert to fraction form
    288,360/385,722 = 385,722/x
  3. Step 3: Cross multiply
    288,360x = 385,722 × 385,722
  4. Step 4: Simplify right side
    288,360x = 148,781,461,284
  5. Step 5: Solve for x
    x = 148,781,461,284/288,360
  6. Step 6: Final answer
    x = 515,957.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.