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Finding the Third Proportional to 337,920 and 456,135

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Solution

The third proportional to 337,920 and 456,135 is: 615,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,920 : 456,135 = 456,135 : x
  2. Step 2: Convert to fraction form
    337,920/456,135 = 456,135/x
  3. Step 3: Cross multiply
    337,920x = 456,135 × 456,135
  4. Step 4: Simplify right side
    337,920x = 208,059,138,225
  5. Step 5: Solve for x
    x = 208,059,138,225/337,920
  6. Step 6: Final answer
    x = 615,705.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.