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Finding the Third Proportional to 188,920 and 292,470

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Solution

The third proportional to 188,920 and 292,470 is: 452,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,920 : 292,470 = 292,470 : x
  2. Step 2: Convert to fraction form
    188,920/292,470 = 292,470/x
  3. Step 3: Cross multiply
    188,920x = 292,470 × 292,470
  4. Step 4: Simplify right side
    188,920x = 85,538,700,900
  5. Step 5: Solve for x
    x = 85,538,700,900/188,920
  6. Step 6: Final answer
    x = 452,777.37

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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.