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Finding the Third Proportional to 154,046 and 330,220

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Solution

The third proportional to 154,046 and 330,220 is: 707,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,046 : 330,220 = 330,220 : x
  2. Step 2: Convert to fraction form
    154,046/330,220 = 330,220/x
  3. Step 3: Cross multiply
    154,046x = 330,220 × 330,220
  4. Step 4: Simplify right side
    154,046x = 109,045,248,400
  5. Step 5: Solve for x
    x = 109,045,248,400/154,046
  6. Step 6: Final answer
    x = 707,874.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.